Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces
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Sehie Park
shpark@math.snu.ac.kr
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Abstract
Various types of ðœ™A-spaces (X, D; {ðœ™A}A∈〈D〉) are simply G-convex spaces. Various types of generalized KKM maps on ðœ™A-spaces are simply KKM maps on G-convex spaces. Therefore, our G-convex space theory can be applied to various types of ðœ™A-spaces. As such examples, we obtain KKM type theorems and a very general fixed point theorem on ðœ™A-spaces.
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Published
2008-12-01
How to Cite
[1]
S. Park, “Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces”, CUBO, vol. 10, no. 4, pp. 1–13, Dec. 2008.
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