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Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions. (English) Zbl 1229.90266
An existence theorem is given for solutions to a generalized Ky Fan inequality formulated over locally convex Hausdorff topological linear spaces. The theorem is obtained by applying the Kakutani-Fan-Glicksberg fixed-point theorem without imposing the condition that the dual of the ordering cone has a weak* compact base. Several applications of the existence theorem and a stability result for the solution set are also given.

MSC:
90C48 Programming in abstract spaces
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
47H10 Fixed-point theorems
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics
49J27 Existence theories for problems in abstract spaces
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