四川师范大学学报(自然科学版)2005,Vol.28Issue(5):505-513,9.
拓扑空间内的广义R-KKM型定理及其应用
Generalized R-KKM Type Theorems in Topological Spaces and Applications
摘要
Abstract
Some new generalized R- KKM type theorems for generalized R- KKM mappings with (transfer) compactly closed values are established in noncompact topological spaces without any convexity structure. As applications, some minimax inequalities, saddle point theorems and equilibrium existence theorems for equilibrium problems with lower and upper bounds are obtained in topological spaces. These results generalize some known results in recent literatures.关键词
广义R-KKM映射/转移紧闭值/R-KKM型定理/α-β-广义R-对角拟凹/具有下和上界的平衡问题Key words
Generalized R-KKM mapping/Transfer compactly closed values/R-KKM type theorem/α-β-generalized R-diagonally quasiconcave/Equilibrium problem with lower and upper bounds分类
数理科学引用本文复制引用
丁协平..拓扑空间内的广义R-KKM型定理及其应用[J].四川师范大学学报(自然科学版),2005,28(5):505-513,9.基金项目
四川省教育厅重点科研基金资助项目 ()