2006•Journal of Beijing University of TechnologyRequires access

Minimax Theorem of Two Mixed Functions

Cao-zong Cheng

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Abstract

Minimax principle originates from game theory, and has become an important content of nonlinear analysis. Minimax principle has extensive applications in fixed-point theory, KKM theory, variational inequality, optimization, mathematical economics, differential equations, and etc. This article generalized minimax theorem with weakly convex and concave conditions to minimax theorem of two mixed functions.

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Minimax principle originates from game theory, and has become an important content of nonlinear analysis. Minimax principle has extensive applications in fixed-point theory, KKM theory, variational inequality, optimization, mathematical economics, differential equations, and etc. This article generalized minimax theorem with weakly convex and concave conditions to minimax theorem of two mixed functions.

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Available abstract

Minimax principle originates from game theory, and has become an important content of nonlinear analysis. Minimax principle has extensive applications in fixed-point theory, KKM theory, variational inequality, optimization, mathematical economics, differential equations, and etc. This article generalized minimax theorem with weakly convex and concave conditions to minimax theorem of two mixed functions.

Key concepts: Minimax, Minimax theorem, Mathematics, Danskin's theorem, Fixed-point theorem, Minimax approximation algorithm, Brouwer fixed-point theorem, Picard–Lindelöf theorem

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