<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MUHAMMAD N. ISLAM</style></author><author><style face="normal" font="default" size="100%">JEFFREY T. NEUGEBAUER</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC STABILITY OF FUNCTIONAL EQUATIONS BY FIXED POINT THEOREMS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">11/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/en/articles/22/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">22</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;For many years, Liapunov’s direct method has been the primary technique for studying various stability also known as ‘Liapunov stability’ of functional differential equations. Recently, it has been noticed that&amp;nbsp;some difficulties can arise when Liapunov’s method is applied to certain equations, and that a suitable fixed point theorem can overcome some of these&amp;nbsp;difficulties. In this paper we study a particular stability which differs from the&amp;nbsp;Liapunov stability. In particular, we study the existence of asymptotically stable solutions of a system of nonlinear Volterra integral equations. We employ&amp;nbsp;a fixed point theorem due to Krasnosel’skii in the analysis.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">611</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SVETOSLAV ENKOV</style></author><author><style face="normal" font="default" size="100%">ATANASKA GEORGIEVA</style></author><author><style face="normal" font="default" size="100%">ALBENA PAVLOVA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">QUADRATURE RULES AND ITERATIVE NUMERICAL METHOD FOR TWO-DIMENSIONAL NONLINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><alt-title><style face="normal" font="default" size="100%">CAA</style></alt-title><short-title><style face="normal" font="default" size="100%">Two-Dimensional Nonlinear Fredholm Fuzzy Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45B05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">65D32</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/21/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">21</style></volume><pages><style face="normal" font="default" size="100%">30</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we introduce some generalized quadrature rules&amp;nbsp;to approximate two-dimensional Henstock integral of fuzzy-number-valued&amp;nbsp;functions by giving error bounds for Henstock integrable, bounded mappings&lt;br /&gt;
in terms of uniform modulus of continuity. We also consider generalizations&amp;nbsp;of classical quadrature rules, such as midpoint-type, trapezoidal and three-point-type quadrature. Moreover, we propose an iterative procedure based&amp;nbsp;on trapezoidal quadrature to solve two-dimensional nonlinear Fredholm fuzzy&amp;nbsp;integral equations. The error estimation of the proposed method is given in&amp;nbsp;terms of uniform and partial modulus of continuity. Finally , an illustrative&amp;nbsp;numerical experiment confirms the theoretical results and demonstrates the&amp;nbsp;accuracy of the method.&lt;br /&gt;
&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">479</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KARIMA BESSIOUD</style></author><author><style face="normal" font="default" size="100%">ABDELOUAHEB ARDJOUNI</style></author><author><style face="normal" font="default" size="100%">AHCENE DJOUDI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE PERIODIC SOLUTIONS OF SECOND-ORDER SYSTEMS WITH SINGULARITIES AND DEVIATING ARGUMENTS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B16</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B27</style></keyword><keyword><style  face="normal" font="default" size="100%">34K13</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">06/2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/20/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we use Schauder’s fixed point theorem to prove that the second-order systems with singularities and deviating arguments&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$( x ′′ (t) + a1 (t) x (t) = f1 (t, y (t − τ1 (t))) + e1 (t), $$&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;$$y ′′ (t) + a2 (t) y (t) = f2 (t, x (t − τ2 (t))) + e2 (t),$$&lt;/p&gt;

&lt;p&gt;has a positive periodic solution, where ai , τi ∈ L 1 (R/TZ, R+), ei ∈ L 1 (R/TZ, R) and fi (i = 1, 2) are Carath´eodory functions and have singularities at the origin. An example is also given to illustrate our work.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">223</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">A. AMINI-HARANDI</style></author><author><style face="normal" font="default" size="100%">D. O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON COUPLED AND TRIPLED FIXED POINT THEORY OF MULTI-VALUED CONTRACTION MAPPINGS IN PARTIALLY ORDERED METRIC SPACES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">54H25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">7</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we present a new and simple approach to coupled fixed point theory of multi-valued maps. By using our method, we first give a very simple proof of the recent coupled fixed point theorems established by Samet and Vetro [B. Samet, C. Vetro, Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Analysis 74(2011), 4260-4268.] Then, we use our technique to present a new tripled fixed point theorem in a general setting.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">209</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DOUGLAS R. ANDERSON</style></author><author><style face="normal" font="default" size="100%">RICHARD I. AVERY</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF A SOLUTION TO A CONJUGATE BOUNDARY VALUE PROBLEM APPLYING A COROLLARY OF THE OMITTED RAY FIXED POINT THEOREM</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper presents a corollary of the omitted ray fixed point theorem with an example that utilizes a non-standard existence of solutions argument, in conjunction with the mean value theorem, to prove the existence of a solution to a conjugate boundary value problem.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">403</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIXED POINT RESULTS FOR MAPS WITH WEAKLY SEQUENTIALLY CLOSED GRAPHS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H04</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H14</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">9</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we present an alternative of Leray-Schauder type and a fixed point result of Furi-Pera type. An application is given to illustrate our theory.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">235</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RICHARD AVERY</style></author><author><style face="normal" font="default" size="100%">JOHNNY HENDERSON</style></author><author><style face="normal" font="default" size="100%">XUEYAN LIU</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE FIXED POINT THEOREMS WITH OMITTED RAY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">18</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper presents several multiple fixed point theorems that utilize a functional version of Altman’s condition as an alternative to the standard inward-outward techniques used in the Krasnoselskii and Leggett-Williams type fixed point theorems. An example is included to illustrate the new technique in showing the existence of solutions to boundary value problems.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">43</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ABDELGHANI OUAHAB</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">SOME PEROV’S AND KRASNOSEL’SKII TYPE FIXED POINT RESULTS AND APPLICATION</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword><keyword><style  face="normal" font="default" size="100%">54H25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/19/4/12.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we establish a single and multivalued version of a Perov type fixed point theorem. Also in generalized Banach spaces, we extend the Krasnosel’skii type fixed point theorem for the sum of B +A, where B is an expansive operator and A is a continuous map. Finally, our results are used to prove the existence of solutions for impulsive differential inclusions.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">623</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">WENYING FENG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A CLASS OF MAPS RELATED TO THE SEMILINEAR SPECTRUM AND APPLICATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">SEMILINEAR SPECTRUM AND APPLICATION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">39B22.</style></keyword><keyword><style  face="normal" font="default" size="100%">47H09</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/3/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">380</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, the notion of (a, q)-L-stably solvable maps, where L is a closed Fredholm operator of index zero, is introduced. Closely related to the spectrum of semilinear operators, the class of (a, q)-L-stably solvable maps generalizes both (a, q)-stably solvable and the L-stably solvable maps that were defined previously. We prove properties for the new class of operators including the continuation principle and discuss eigenvalues. We also show its applications in the study of solvability of a nonlinear system.&lt;/div&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">372</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">KYRIAKOS  MAVRIDIS</style></author><author><style face="normal" font="default" size="100%">PANAGIOTIS  TSAMATOS</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE OF POSITIVE SOLUTIONS OF A TERMINAL VALUE PROBLEM FOR SECOND ORDER DIFFERENTIAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">34B40</style></keyword><keyword><style  face="normal" font="default" size="100%">34K10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we use the well–known Guo–Krasnoselskii fixed point theorem to establish conditions which guarantee the existence of at least one positive solution for a terminal value problem concerning a second order differential equation&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">539</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">K. LAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">POSITIVE SOLUTIONS OF SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/4/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">8</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;New results on existence of positive solutions in&lt;em&gt; L&lt;sup&gt;p&lt;/sup&gt;&lt;/em&gt; (Ω, R&lt;sup&gt;n&lt;/sup&gt;) of systems of Hammerstein integral equations are obtained by using Leray-Schauder fixed point theorem. The principal eigenvalues of the corresponding linear Hammerstein integral equations are employed. Our results improve some previous results on existence of (not necessarily positive) solutions in &lt;em&gt;L&lt;sup&gt;p&amp;nbsp;&lt;/sup&gt;&lt;/em&gt;(Ω) of a single Hammerstein integral equation.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><section><style face="normal" font="default" size="100%">521</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SMAIL DJEBALI</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author><author><style face="normal" font="default" size="100%">ZAHIRA SAHNOUN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON THE SOLVABILITY OF SOME OPERATOR EQUATIONS AND INCLUSIONS IN BANACH SPACES WITH THE WEAK TOPOLOGY</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OPERATOR EQUATIONS AND INCLUSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword><keyword><style  face="normal" font="default" size="100%">47J05</style></keyword><keyword><style  face="normal" font="default" size="100%">54C60.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/10.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">140</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;The aim of this paper is to present some existence results regarding operator equation and operator inclusions in some Banach spaces endowed with the weak topology. The results complement those obtained in [19, 20, 21, 22]. The Schauder-Tychonov fixed point is used with the weak measure of noncompactness. Applications to Volterra integral equations and inclusions are also provided.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">125</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC POINTS FOR COMPACT ABSORBING CONTRACTIONS IN EXTENSION TYPE SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">MULTIPLICITY RESULTS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/1/1.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div&gt;Several new periodic point results are presented for self maps in extension type spaces. In particular we discuss compact absorbing contractions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">1</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON SOLVABILITY OF OPERATOR INCLUSIONS x ∈ Ax Bx + Cx IN BANACH ALGEBRAS AND DIFFERENTIAL INCLUSIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">OPERATOR INCLUSIONS IN BANACH ALGEBRAS AND DIFFERENTIAL INCLUSIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/4/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">596</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, some hybrid fixed point theorems concerning the operator inclusions x ∈ Ax Bx + Cx in a Banach algebra are proved. They are applied to some first order ordinary differential inclusions of initial and boundary value problems for proving the existence theorems under mixed Lipschitz and compactness type conditions. Our results includes the multi-valued hybrid fixed point theorems of Dhage [1, 2, 3] as special cases.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">567</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MOUFFAK BENCHOHRA</style></author><author><style face="normal" font="default" size="100%">NAIMA HAMIDI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">EXISTENCE RESULTS FOR FRACTIONAL ORDER INTEGRAL  ́ EQUATIONS OF MIXED TYPE IN FR ECHET SPACES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">FRACTIONAL ORDER INTEGRAL EQUATIONS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">45D05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/11.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">120</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper we discuss the existence of solutions for an integral equation of mixed type. We rely on a generalization on Fr ́echet spaces of a Krasnosel’skii type fixed point theorem due to Avramescu and on a nonlinear alternative of Leray-Schauder type for contraction maps in Fr ́echet spaces due to Frigon and Granas.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">111</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">BAPURAO C. DHAGE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">FIRST ORDER FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH PERIODIC BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">A FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSION</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A60.</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/1/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">92</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, an existence theorem for a first order functional integro-differential inclusion in Banach algebras with the periodic boundary conditions is proved via a new fixed point principle of Leray-Schauder type under generalized Lipschitz and Carath ́eodory conditions. An existence theorem for the extremal solutions is also obtained under certain monotonicity conditions.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">71</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Gennaro Infante</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NONLOCAL BOUNDARY VALUE PROBLEMS WITH TWO NONLINEAR BOUNDARY CONDITIONS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B10</style></keyword><keyword><style  face="normal" font="default" size="100%">34B18</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword><keyword><style  face="normal" font="default" size="100%">47H30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We establish new results on the existence of positive solutions for some nonlocal boundary value problems subject to two nonlinear boundary conditions. Our approach relies on the classical fixed point index theory for compact maps.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">279</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Y.Q. Chen</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Y.J. Cho</style></author><author><style face="normal" font="default" size="100%">S.M. Kang</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">PERIODIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS WITH SMALL PERTURBATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Periodic Solutions for Evolution Equations  </style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34C25</style></keyword><keyword><style  face="normal" font="default" size="100%">34G20</style></keyword><keyword><style  face="normal" font="default" size="100%">47H05</style></keyword><keyword><style  face="normal" font="default" size="100%">47H10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2005</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2005</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/9/1/3.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">9</style></volume><pages><style face="normal" font="default" size="100%">41</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;Let A : R × E → E&lt;sup&gt;∗&lt;/sup&gt; be a limit mapping of class (S&lt;sub&gt;+&lt;/sub&gt; ), where E is a real reflexive Banach space. We study the existence of periodic solutions of the following evolution equation&lt;/p&gt;

&lt;p class=&quot;rtecenter&quot;&gt;&lt;br /&gt;
&lt;img alt=&quot;&quot; height=&quot;59&quot; 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&quot; width=&quot;295&quot; /&gt;&lt;/p&gt;

&lt;p&gt;As a special case, we derive the existence of periodic solutions when A is pseudomonotone.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">33</style></section></record></records></xml>