| Title | PERIODIC POINTS FOR COMPACT ABSORBING CONTRACTIONS IN EXTENSION TYPE SPACES |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | O’REGAN, DONAL |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 1 |
| Start Page | 1 |
| Pagination | 12 |
| Date Published | 01/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 47H10 |
| Abstract | Several new periodic point results are presented for self maps in extension type spaces. In particular we discuss compact absorbing contractions.
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| URL | http://www.acadsol.eu/en/articles/14/1/1.pdf |
| Short Title | MULTIPLICITY RESULTS |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] R.P. Agarwal and D.O’Regan, A Lefschetz fixed point theorem for admissible maps in Frechet spaces, Dynamic Systems and Applications 16 (2007), 1–12.
[2] R.P. Agarwal and D.O’Regan, Fixed point theory for compact absorbing contractive admissible type maps, Applicable Analysis 87 (2008), 497–508. [3] R.P. Agarwal, D.O’Regan and S. Park, Fixed point theory for multimaps in extension type spaces, Jour. Korean Math. Soc. 39 (2002), 579–591. [4] H. Ben-El-Mechaiekh, The coincidence problem for compositions of set valued maps, Bull. Austral. Math. Soc. 41 (1990), 421–434. [5] H. Ben-El-Mechaiekh, Spaces and maps approximation and fixed points, Jour. Computational and Appl. Mathematics 113 (2000), 283–308. [6] H. Ben-El-Mechaiekh and P. Deguire, General fixed point theorems for non–convex set valued maps, C.R. Acad. Sci. Paris 312 (1991), 433–438. [7] R. Engelking, General Topology, Heldermann Verlag, Berlin, 1989. [8] G. Fournier and L. Gorniewicz, The Lefschetz fixed point theorem for multi-valued maps of non-metrizable spaces, Fundamenta Mathematicae 92 (1976), 213–222. [9] L. Gorniewicz, Topological fixed point theory of multivalued mappings, Kluwer Acad. Publishers, Dordrecht, 1999. [10] L. Gorniewicz and D. Rozploch-Nowakowska, The Lefschetz fixed point theory for morphisms in topological vector spaces, Topol. Meth. Nonl. Anal. 20 (2002), 315–333. [11] A. Granas, Fixed point theorems for approximative ANR’s, Bull. Acad. Polon. Sc. 16 (1968), 15–19. [12] A. Granas and J. Dugundji, Fixed point theory, Springer, New York, 2003.
[13] J.L. Kelley, General Topology, D. Van Nostrand Reinhold Co., New York, 1955. [14] D. O’Regan, Fixed point theory on extension type spaces and essential maps on topological spaces, Fixed Point Theory and Applications 2004 (2004), 13-20. [15] D. O’Regan, Asymptotic Lefschetz fixed point theory for ANES(compact) maps, Rendiconti del Circolo Matematico di Palermo, to appear. [16] D. O’Regan, Fixed point theory for extension type maps in topological spaces, Applicable Analysis, to appear. [17] D. O’Regan, Fixed point theory for compact absorbing contractions in extension type spaces, to appear. |