GENERALIZED KKM MAPS, MAXIMAL ELEMENTS AND ALMOST FIXED POINTS

In the framework of generalized convex spaces, we show that generalized KKM maps can be regarded as ordinary KKM maps, and obtain some applications to equilibrium result, maximal element theorems, and almost fixed point theorems on multimaps of the Zima type.

Saved in:
Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 44; no. 2; pp. 393 - 406
Main Authors Kim, Hoon-Joo, Park, Se-Hie
Format Journal Article
LanguageKorean
Published 대한수학회 01.03.2007
Subjects
수학
G-convex space
KKM map
generalized KKM
Zima type
almost fixed point
generalized $\gamma$-quasiconvexity
maximal elements
Online AccessGet full text
ISSN0304-9914
2234-3008

Cover

More Information
Summary:In the framework of generalized convex spaces, we show that generalized KKM maps can be regarded as ordinary KKM maps, and obtain some applications to equilibrium result, maximal element theorems, and almost fixed point theorems on multimaps of the Zima type.
Bibliography:KISTI1.1003/JNL.JAKO200712242658838
G704-000208.2007.44.2.002
http://www.mathnet.or.kr/mathnet/thesis_file/09_J05181.pdf
ISSN:0304-9914
2234-3008