<?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%">Yakov Alber</style></author><author><style face="normal" font="default" size="100%">Simeon Reich</style></author><author><style face="normal" font="default" size="100%">David Shoikhet</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ITERATIVE APPROXIMATIONS OF NULL POINTS OF UNIFORMLY ACCRETIVE OPERATORS WITH ESTIMATES OF THE CONVERGENCE RATE</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">47H06</style></keyword><keyword><style  face="normal" font="default" size="100%">47H17</style></keyword><keyword><style  face="normal" font="default" size="100%">65J15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2002</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2002</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/en/articles/6/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">6</style></volume><pages><style face="normal" font="default" size="100%">16</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 study the implicit scheme $${ x_n = x_{n−1} − α_nx′_n , \ x′_n \ ∈ \ Ax_n, \ \&amp;nbsp; n = 1, 2, ...,}$$ where ${ A : D → X }$is a uniformly accretive set-valued operator satisfying the range condition and ${D}$&amp;nbsp;is a closed subset of a Banach space ${X}$. We present, in particular, a convergence theorem with estimates of the convergence rate and establish the stability of the method with respect to perturbations of the operator ${A}$. A result on the asymptotic behavior of the resolvents of ${A}$ is also included.&lt;/p&gt;
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