Alternative principles and minimax inequalities in G-convex spaces
Alternative principles and minimax inequalities in G-convex spaces作者机构:Department of MathematicsUniversity of Oradea410087 OradeaRomania
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:2008年第29卷第5期
页 面:665-672页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)]
主 题:G-convex space strict KKM property fixed point theorem maximal element alternative theorem minimax inequality
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.