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http://dx.doi.org/10.4134/JKMS.2007.44.2.393

GENERALIZED KKM MAPS, MAXIMAL ELEMENTS AND ALMOST FIXED POINTS  

Kim, Hoon-Joo (Department of Mathematics Education Daebul University)
Park, Se-Hie (The National Academy of Sciences Republic of Korea)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.2, 2007 , pp. 393-406 More about this Journal
Abstract
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.
Keywords
G-convex space; KKM map; generalized KKM; generalized $\gamma$-quasiconvexity; maximal elements; Zima type; almost fixed point;
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