Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces

被引：0
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作者：
Yi Ran He
Xiu Zhen Mao
Mi Zhou
机构：
[1] Sichuan Normal University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
variational inequalities; well-positioned sets; barrier cone; strict feasibility; stably properly quasimonotone; 47H04; 47H05; 58E35;
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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：7
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