GENERALIZED KKM MAPS, MAXIMAL ELEMENTS AND ALMOST FIXED POINTS

Title & Authors
GENERALIZED KKM MAPS, MAXIMAL ELEMENTS AND ALMOST FIXED POINTS
Kim, Hoon-Joo; Park, Se-Hie;

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 $\small{\gamma}$-quasiconvexity;maximal elements;Zima type;almost fixed point;
Language
English
Cited by
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대한수학회보, 2013. vol.50. 1, pp.305-320
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APPLICATIONS OF RESULTS ON ABSTRACT CONVEX SPACES TO TOPOLOGICAL ORDERED SPACES, Bulletin of the Korean Mathematical Society, 2013, 50, 1, 305
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Generalized Knaster–Kuratowski–Mazurkiewicz Theorem Without Convex Hull, Journal of Optimization Theory and Applications, 2012, 154, 1, 17
3.
New generalizations of basic theorems in the KKM theory, Nonlinear Analysis: Theory, Methods & Applications, 2011, 74, 9, 3000
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