Strict feasibility of variational inequalities in reflexive Banach spaces

被引：22

作者：

He, Yi Ran ^{[1
]}

Mao, Xiu Zhen ^{[1
]}

Zhou, Mi ^{[1
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610068, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 03期

基金：

中国国家自然科学基金;

关键词：

variational inequalities; well-positioned sets; barrier cone; strict feasibility; stably properly quasimonotone;

D O I：

10.1007/s10114-005-0918-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Strict feasibility is proved to be an equivalent characterization of (dual) variational inequalities having a nonempty bounded solution set, provided the mappings involved are stably properly quasimonotone. This generalizes an earlier result from finite-dimensional Euclidean spaces to infinitedimensional reflexive Banach spaces. Moreover, the monotonicity-type assumptions are also mildly relaxed.

引用

页码：563 / 570

页数：8

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