Maximal elements for Kakutani maps
Volume 27, Issue 1, pp 77--85
http://dx.doi.org/10.22436/jmcs.027.01.07
Publication Date: February 18, 2022
Submission Date: December 15, 2021
Revision Date: January 10, 2022
Accteptance Date: January 20, 2022
-
1093
Downloads
-
2271
Views
Authors
D. O'Regan
- School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland.
Abstract
We present some new general existence theorems for maximal type elements for upper semicontinuous maps with convex compact values.
Share and Cite
ISRP Style
D. O'Regan, Maximal elements for Kakutani maps, Journal of Mathematics and Computer Science, 27 (2022), no. 1, 77--85
AMA Style
O'Regan D., Maximal elements for Kakutani maps. J Math Comput SCI-JM. (2022); 27(1):77--85
Chicago/Turabian Style
O'Regan, D.. "Maximal elements for Kakutani maps." Journal of Mathematics and Computer Science, 27, no. 1 (2022): 77--85
Keywords
- Fixed and coincidence point theory
- maximal elements
MSC
References
-
[1]
R. P. Agarwal, D. O'Regan, S. Park, Fixed point theory for multimaps in extension type spaces, J. Korean Math. Soc., 39 (2002), 579--591
-
[2]
C. D. Aliprantis, K. C. Border, Infinite--Dimensional Analysis, Studies in Economic Theory, Springer-Verlag, Berlin (1994)
-
[3]
H. Ben-El-Mechaiekh, P. Deguire, A. Granas, Points fixes et coincidences pour les fonctions multivoques (Applications de type $\Phi$ and $\Phi^{\star}$) II, C. R. Acad. Sci. Paris Sér. I Math., 295 (1982), 381--384
-
[4]
X. P. Ding, W. K. Kim, K. K. Tan, A selection theorem and its applications, Bulletin Australian Math. Soc., 46 (1992), 205--212
-
[5]
J. Dugundji, Topology, Allyn and Bacon, Boston (1966)
-
[6]
R. Engelking, General Topology, PWN-Polish Scientific Publishers, Warszawa (1977)
-
[7]
L. Gorniewicz, Topological fixed point theory of multivalued mappings, Kluwer Academic Publishers, Dordrecht (1999)
-
[8]
D. O'Regan, Fixed point theory on extension type spaces on topological spaces, Fixed Point Theory and Applications, 1 (2004), 13--20
-
[9]
D. O'Regan, Deterministic and random fixed points for maps on extension type spaces, Appl. Anal., 97 (2018), 1960--1966
-
[10]
D. O'Regan, Collectively coincidence type results and applications, Appl. Anal., 2021 (2021), 12 pages
-
[11]
D. O'Regan, A note on collectively fixed and coincidence points, to appear, ()
-
[12]
K.-K. Tan, X.-Z. Yuan, Maximal elements and equilibria for ${\cal U}$--majorised preferences, Bull. Austral. Math. Soc., 49 (1994), 47--54