Application of KKM Type Theorems in Finitely Continuous Topological Spaces

Hongmei Li · Journal of Sichuan Normal University · 2005

Recently,X.P.Ding(J.Sichuan Normal Univ.(Nat.Sci.),2005,28(2):127~130.) introduced the concept of finitely continuous(FC) spaces which contains many topological spaces with various convex structure in nonlinear analysis as special cases.In this paper,ased on Ding's concept and by using transfer open(closed) mappings,some applications of KKM type theorems,such as fixed point theorems and minimax inequalities are obtained in FC-spaces.

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