A fixed point theorem and some generalized Ky Fan’s minimax inequalities. (English) Zbl 1247.47034
Summary: In this paper, we establish a fixed point theorem for set-valued mappings on a topological vector space without “local convexity”. We also establish some generalized Ky Fan’s minimax inequalities for set-valued vector mappings, which are generalizations of some previous results.
MSC:
47H10 | Fixed-point theorems |
47H04 | Set-valued operators |
49J35 | Existence of solutions for minimax problems |