A note on set valued maps on admissible extension type spaces

Volume 16, Issue 4, pp 233--238 http://dx.doi.org/10.22436/jnsa.016.04.04

Publication Date: November 12, 2023 Submission Date: June 08, 2023 Revision Date: July 23, 2023 Accteptance Date: November 08, 2023

Download PDF

Download XML

167 Downloads
318 Views

Authors

D. O'Regan - School of Mathematical and Statistical Sciences, University of Galway, Ireland.

Abstract

We present a number of fixed point results for general classes of maps defined on a variety of extension type and admissible type spaces.

Share and Cite

ISRP Style

D. O'Regan, A note on set valued maps on admissible extension type spaces, Journal of Nonlinear Sciences and Applications, 16 (2023), no. 4, 233--238

AMA Style

O'Regan D., A note on set valued maps on admissible extension type spaces. J. Nonlinear Sci. Appl. (2023); 16(4):233--238

Chicago/Turabian Style

O'Regan, D.. "A note on set valued maps on admissible extension type spaces." Journal of Nonlinear Sciences and Applications, 16, no. 4 (2023): 233--238

Keywords

Fixed points
set-valued maps

MSC

47H10
54H25

References

[1] C. D. Aliprantis, K. C. Border, Infinite-dimensional analysis, Springer-Verlag, Berlin (1994)

[2] H. Ben-El-Mechaiekh, The coincidence problem for compositions of set-valued maps, Bull. Austral. Math. Soc., 41 (1990), 421–434

[3] H. Ben-El-Mechaiekh, Spaces and maps approximation and fixed points, J. Comput. Appl. Math., 113 (2000), 283–308

[4] T.-H. Chang, Y.-Y. Huang, J.-C. Jeng, Fixed-point theorems for multifunctions in S-KKM class, Nonlinear Anal., 44 (2001), 1007–1017

[5] T.-H. Chang, C.-L. Yen, KKM property and fixed point theorems, J. Math. Anal. Appl., 203 (1996), 224–235

[6] R. Engelking, General Topology, Heldermann Verlag, Berlin (1989)
- View Article
- Google Scholar

[7] G. Fournier, L. G´orniewicz, The Lefschetz fixed point theorem for multi-valued maps of non-metrizable spaces, Fund. Math., 92 (1976), 213–222

[8] G. Fournier, A. Granas, The Lefschetz fixed point theorem for some classes of non-metrizable spaces, J. Math. Pures Appl. (9), 52 (1973), 271–283

[9] L. Gorniewicz, Topological fixed point theory of multivalued mappings, Springer, Dordrecht (1991)

[10] A. Granas, J. Dugundji, Fixed Point Theory, Springer-Verlag, New York (2003)
- View Article

[11] J. L. Kelley, General Topology, Springer-Verlag, Berlin (1955)
- View Article

[12] D. O’Regan, Fixed point theory on extension-type spaces and essential maps on topological spaces, Fixed Point Theory Appl., 2004 (2004), 13–20

[13] D. O’Regan, Deterministic and random fixed points for maps on extension type spaces, Appl. Anal., 97 (2018), 1960–1966

[14] D. O’Regan, Coincidence theory and KKM type maps, submitted, (),

[15] D. O’Regan, J. Per´an, Fixed points for better admissible multifunctions on proximity spaces, J. Math. Anal. Appl., 380 (2011), 882–887

[16] S. Park, Fixed point theorems for better admissible multimaps on almost convex sets, J. Math. Anal. Appl., 329 (2007), 690–702