Alternative principles and minimax inequalities in G-convex spaces

Alternative principles and minimax inequalities in G-convex spaces

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摘要 Using a fixed point theorem by Kuo, Jeng and Huang, we obtain in G-convex spaces a very general intersection theorem concerning the values of three maps. From this result we derive successively alternative theorems concerning maximal elements, analytic alternatives and minimax inequalities. Using a fixed point theorem by Kuo, Jeng and Huang, we obtain in G-convex spaces a very general intersection theorem concerning the values of three maps. From this result we derive successively alternative theorems concerning maximal elements, analytic alternatives and minimax inequalities.

作者 Mircea Balaj

机构地区 Department of Mathematics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第5期665-672,共8页 应用数学和力学（英文版）

关键词 G-convex space strict KKM property fixed point theorem maximal element alternative theorem minimax inequality G-convex space, strict KKM property, fixed point theorem, maximal element, alternative theorem, minimax inequality

分类号 O189.1 [理学—基础数学]

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Applied Mathematics and Mechanics(English Edition)

2008年第5期

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Alternative principles and minimax inequalities in G-convex spaces

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