G-KKM Theorem on Non-Convex Sets and its Applications

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Authors

  • Department of Mathematics Education, National Hsinchu Teacher's College, Hsinchu, Taiwan, R.O.C ,TW

Keywords:

G-KKM Property, G-KKM Theorem, Matching Theorem, Fixed Point Theorem, Almost G-Convex, Nearly G-Convex.

Abstract

In this paper, we invoke non-convexity of constraint regions in place of convexity and we obtain the new fixed point theorem, " Let X be an almost (7-convex subset (nearly C-convex Set) of a locally G-convex space E. If T ∈ G-KKM(X, X) is compact and closed, then it has a fixed point.”

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Published

2005-12-01

How to Cite

Chen, C.-M. (2005). G-KKM Theorem on Non-Convex Sets and its Applications. The Journal of the Indian Mathematical Society, 72(1-4), 43–51. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/21814