Necessary conditions for two-function minimax inequalities
Necessary conditions are given for the two-function minimax inequality to hold for a large family of subsets of the sets involved. The functions should belong to a class consisting of certain generalizations of convex (concave)-like functions. Most of the analysis takes place in topological vector spaces but the results are also extended to pseudoconvex spaces.
KeywordsVariational Inequality Topological Vector Space Minimax Theorem Hausdorff Topological Vector Space Compact Topological Space
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