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局部FC-一致空间内的联立广义矢量拟平衡问题组

丁协平

四川师范大学学报(自然科学版)2009,Vol.32Issue(1):1-12,12.
四川师范大学学报(自然科学版)2009,Vol.32Issue(1):1-12,12.

局部FC-一致空间内的联立广义矢量拟平衡问题组

Systems of Simultaneous Generalized Vector Quasi-equilibrium Problems in Locally FC-uniform Spaces

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 systems of generalized vector quasi-equilibrium problems and simultaneous generalized vector quasi-equihbrium problems are introduced and studied in locally FC-uniform spaces. By using a KKM type theorem and a Himmelberg type fixed point theorem in locally FC-uniform spaces due to author, a new coincidence point theorem for two families of set-valuod mappings is first proved in locally FC-uniform spaces. As applications,some new existence theorems of solutions for the systems of generalized vector quasi-equilibrium problems and the systems of simultaneous generalized vector quasi-equilibrium problems are obtained in locally FC-unfform spaces.These results generalize some known results in literature.

关键词

重合点/紧闭集值映象/广义矢量拟平衡问题组/联立广义矢量拟平衡问题组/局部FC-一致空间

Key words

Coincidence points/Compact closed set-valued mapping/System of generalized vector quasi-equi-librium problems/System of simultaneous generalized vector quasi-equilibrium problems/Locally FC-uniform space

分类

数理科学

引用本文复制引用

丁协平..局部FC-一致空间内的联立广义矢量拟平衡问题组[J].四川师范大学学报(自然科学版),2009,32(1):1-12,12.

基金项目

四川教育厅自然科学重点研究基金(07ZA092,SZD0406)资助项目 (07ZA092,SZD0406)

四川师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-8395

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