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Minimax inequality of Ky Fan type in \(H\)-spaces with applications. (English) Zbl 0948.47049

Summary: We prove a main result about the Ky Fan minimax inequality in any compact \(H\)-space. Then, we apply this result to fixed point problem, intersection problem of sets with convex sections, minimax inequality of the von Neumann type, and variational inequality.

MSC:

47H04 Set-valued operators
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47H10 Fixed-point theorems
49J35 Existence of solutions for minimax problems
52A07 Convex sets in topological vector spaces (aspects of convex geometry)
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