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Intersection theorems in FC-spaces and their applications. (Chinese. English summary) Zbl 1212.47028

Summary: In this paper, we discuss the properties of KKM mappings in finitely continuous topological spaces (FC-spaces for short) without any convexity assumptions, and some intersection theorems are given. As applications, we get a minimax inequality theorem.

MSC:

47H05 Monotone operators and generalizations
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
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