非紧集上的Hartman-Stampacchia变分不等式及其应用

数学物理学报

非紧集上的Hartman-Stampacchia变分不等式及其应用

郭伟平

苏州科技学院应用数学系苏州 215009

收稿日期:2005-10-22 修回日期:2006-12-14 出版日期:2007-10-25 发布日期:2007-10-25
通讯作者: 郭伟平
基金资助:
江苏省教育厅高校自然科学基金(04KJD110170)和苏州科技学院重点学科基金资助

Hartman-Stampacchia Variational Inequalities on Non-compact Sets with Applications

Guo Weiping

Department of Applied Mathematics, University of Science and Technology of Suzhou, Suzhou 215009

Received:2005-10-22 Revised:2006-12-14 Online:2007-10-25 Published:2007-10-25
Contact: Guo Weiping

摘要/Abstract

摘要： 在非紧集上证明了两类多值算子的 Hartman-Stampacchia 变分不等式, 作为应用, 讨论了多值算子的相补问题.

关键词: 局部凸Hausdorff 拓扑线性空间, Hartman-Stampacchia 变分不等式, 相补问题

Abstract: In this paper, two multivalued versions of the Hartman-Stampacchia variational inequalities on non-compact sets are proved and as applications, the complementarity problems for multivalued operators are discussed.

Key words: Locally convex Hausdorff topological vector space, Hartman Stampacchia variational inequality, Complementarity problem

中图分类号:

49R20

郭伟平. 非紧集上的Hartman-Stampacchia变分不等式及其应用[J]. 数学物理学报, 2007, 27(5): 907-914.

Guo Weiping.

Hartman-Stampacchia Variational Inequalities on Non-compact Sets with Applications

[J]. Acta mathematica scientia,Series A, 2007, 27(5): 907-914.