A Generalization of Ky Fan′s Minimax Theorem with Applications
Jianfeng Mao
Abstract
Jianfeng Mao
Abstract
In this paper, we defined strong generalized convex space(short. S-space) witch is a specially Gconvex space, generalized the convex function from linear topological space to S-space and established Ky Fan's minimax theorem in S-space. As application, we generalized the famous Neumann′s theorem.
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In this paper, we defined strong generalized convex space(short. S-space) witch is a specially Gconvex space, generalized the convex function from linear topological space to S-space and established Ky Fan's minimax theorem in S-space. As application, we generalized the famous Neumann′s theorem.
Key concepts: Minimax theorem, Space (punctuation), Danskin's theorem, Mathematics, Generalization, Minimax, Function space, Regular polygon