FC-空间内的广义向量变分型不等式

方敏; 丁协平

FC-空间内的广义向量变分型不等式

方敏¹,
丁协平²

1.
四川大学数学学院, 成都 610064;
四川师范大学数学与软件科学学院,成都 610066

基金项目: 四川省教育厅重点科研基金资助项目(2003A081)

详细信息

作者简介:
方敏(1980- ),女,重庆人,博士(联系人.E-mail:fangmingracie@163.com).

中图分类号: O255；O177.92
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- 被引次数: 0
出版历程
- 收稿日期: 2005-11-01
- 修回日期: 2006-08-06
- 刊出日期: 2006-11-15

Generalized Vector Variational-Type Inequalities in FC-Spaces

FANG Min¹,
DING Xie-ping²

1.
College of Mathematics, Sichuan University, Chengdu 610064, P. R. China;
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

摘要

摘要: 在FC-空间中引入和研究了一类广义向量变分型不等式(GVVTIP),包含了大多数向量平衡问题,向量变分不等式问题,广义向量平衡问题和广义向量变分不等式问题作为特殊情况．利用F-KKM定理,在非紧FC-空间中,建立了关于GVVTIP解的某些新的存在定理．这些定理统一、改进和推广了文献中的一些重要的已知结果．
- 广义向量变分型不等式 /
- F-KKM映射 /
- F-Px-对角拟凸 /
- FC-空间
Abstract: A class of generalized vector variational-type inequality problems(in short,GVVTIP)are studied in FC-spaces,which include most of vector equilibrium problems,vector variational inequality problems,generalized vector equilibrium problems and generalized vector variational inequality problem as special cases.By using F-KKM theorem,some new existence results for GVVTIP are established in noncompact FC-space.As consequences,some recent known results in literature are obtained under much weaker assumption.
- generalized vector variational-type inequality /
- F-KKM mapping /
- F-P_x-diagonally quasiconvex /
- FC-space

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参考文献(21)

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