乘积G-凸空间内的非空交定理和广义矢量平衡问题组

丁协平

乘积G-凸空间内的非空交定理和广义矢量平衡问题组

丁协平

四川师范大学数学与软件科学学院,成都 610066

基金项目: 国家自然科学基金资助项目(19871059);四川省教育厅重点研究基金资助项目([2000]25)

详细信息

作者简介:
丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84760929;E-mail:dingxip@sicnu.edu.cn).

中图分类号: O177.92;O225
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- 被引次数: 0
出版历程
- 收稿日期: 2002-08-29
- 修回日期: 2003-12-05
- 刊出日期: 2004-06-15

Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces

DING Xie-ping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China

摘要

摘要: 利用作者在G-凸空间内对集值映象簇得到的一个极大元存在性定理，在非紧乘积G-空间内，对集值映象簇建立了某些新的非空交定理．作为应用，在非紧乘积G-凸空间内，对广义矢量平衡问题组证明了一些平衡存在性定理．这些定理统一、改进和推广了文献中一些重要的已知结果．
- 集值映象组 /
- 非空交定理 /
- 广义矢量平衡问题组 /
- 乘积G-凸空间
Abstract: By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature.
- family of set-valued mapping /
- nonempty intersection theorem /
- system of generalized vector equilibrium problem /
- product G-convex space

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参考文献(23)

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