混合型的两个函数极小极大定理

Minimax Theorem of Two Mixed Functions

极小极大原理它来源于博弈论,现在发展成为非线性泛函分析的重要组成部分,并被广泛应用于不动点定理、KKM定理、变分不等式、最优化问题、数学经济、微分方程等不同的领域当中．本文将包含弱凸与弱凹条件的极小极大定理推广到混合型的两个函数的极小极大定理．

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.