2001•Taiwanese Journal of MathematicsRequires access

A MINIMAX THEOREM INVOLVING TWO FUNCTIONS

Cao-zong Cheng, Bor-Luh Lin

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Abstract

minimax theorem involving two functions is derived, where the convexity assumptions on two functions are given by mixed conditions, and in which we answer the open question raised by Forg´o and Jo´o in [2]. Simons’s upward-downward minimax theorem and Lin-Quan’s two functions symmetric minimax theorem are generalized.

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What this paper is about

minimax theorem involving two functions is derived, where the convexity assumptions on two functions are given by mixed conditions, and in which we answer the open question raised by Forg´o and Jo´o in [2]. Simons’s upward-downward minimax theorem and Lin-Quan’s two functions symmetric minimax theorem are generalized.

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Available abstract

minimax theorem involving two functions is derived, where the convexity assumptions on two functions are given by mixed conditions, and in which we answer the open question raised by Forg´o and Jo´o in [2]. Simons’s upward-downward minimax theorem and Lin-Quan’s two functions symmetric minimax theorem are generalized.

Key concepts: Minimax theorem, Minimax, Mathematics, Convexity, Minimax approximation algorithm, Danskin's theorem, Pure mathematics, Combinatorics

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