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Generalizations of the Fan-Browder fixed point theorem and minimax inequalities. (English) Zbl 1111.54032

In this paper, by using the Fan-Browder fixed point theorem, the authors establish several fixed point theorems for maps with nonempty convex values and having the local intersection property.
As applications, several minimax inequalities are obtained. These theorems generalize some known results in the literature.
Reviewer: Jan Paseka (Brno)

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology
49J35 Existence of solutions for minimax problems
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