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.
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页码：563 / 570
页数：8
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