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

Balaj, Mircea; Muresan, Sorin

Arch. Math., Brno 41, No. 4, 399-407 (2005).

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

Keywords:

local intersection property