乘积G-凸空间内的GB-优化映象的极大元及其应用(Ⅱ)

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(Ⅱ)

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
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- 文章访问数: 2324
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- 被引次数: 0
出版历程
- 收稿日期: 2002-03-19
- 修回日期: 2003-02-19
- 刊出日期: 2003-09-15

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

DING Xie-ping

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

摘要

摘要: 通过应用G-凸空间的乘积空间内一族G_B-优化映象的极大元的存在定理,在G-凸空间的非紧设置下证明了某些重合点定理,Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。这些定理改进和推广了文献中许多重要的已知结果。
- 极大元 /
- G_B-优化映象族 /
- 重合定理 /
- 极小极大不等式 /
- G-凸空间的乘积空间
Abstract: By applying existence theorems of maximal elements for a family of G_B-majorized map-pings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces. These theorems improve and generalize many important known results in literature.
- maximal element /
- family of G_B-majorized mappings /
- coincidence theorem /
- minimax inequalities /
- product space of G-convex spaces

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参考文献(16)

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