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Zbl 1111.54032
Balaj, Mircea; Muresan, Sorin
Generalizations of the Fan-Browder fixed point theorem and minimax inequalities. (English)
[J] Arch. Math., Brno 41, No. 4, 399-407 (2005). ISSN 0044-8753; ISSN 1212-5059/e

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.
[Jan Paseka (Brno)]

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54C60 Set-valued maps
49J35 Minimax problems (existence)

Keywords: local intersection property

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