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拓扑空间内的广义R-KKM型定理及其应用

丁协平

四川师范大学学报(自然科学版)2005,Vol.28Issue(5):505-513,9.
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

丁协平1

作者信息

  • 1. 四川师范大学,数学与软件科学学院,四川,成都,610066
  • 折叠

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 ()

四川师范大学学报(自然科学版)

OA北大核心CSCD

1001-8395

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