乘积G-凸空间内的GB-优化映象的极大元及其应用(Ⅰ)

丁协平

乘积G-凸空间内的G_B-优化映象的极大元及其应用(Ⅰ)

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);四川省教育厅重点科研资助项目([2000]25)

详细信息

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

中图分类号: O177.92
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2002-01-19
- 修回日期: 2003-02-19
- 刊出日期: 2003-06-15

Maximal Elements for G_B-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)

DING Xie-ping

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

摘要

摘要: 引入和研究了一类新的映拓扑空间到不同广义凸空间的集值映象簇.利用连续单位分解定理和Brouwer不动点定理,在乘积广义凸空间的非紧设置下,对这类集值映象簇证明了极大元存在定理.这些定理改进,统一和推广了近期文献中许多重要结果.
- 极大元 /
- GB-优化映象族 /
- 乘积G-凸空间
Abstract: A new family of set-valued mappings from a topological space into generalized convex spaces was introduced and studied. By using the continuous partition of unity theorem and Brouwer fixed point theorem, several existence theorems of maximal elements for the family of set-valued mappings were proved under noncompact setting of product generalized convex spaces. These theorems improve, unify and generalize many important results in recent literature.
- maximal element /
- family of G_B-majorized mappings /
- product G-convex space

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参考文献(37)

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