Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces  

作　　者：Yi Ran HE Xiu Zhen MAO Mi ZHOU 

机构地区：[1]Department of Mathematics, Sichuan Normal University, Chengdu 610068, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第3期563-570,共8页数学学报（英文版）

基　　金：NSFC(Grant A0324638);Sichuan Youth Science and Technology Foundation(06ZQ026-013);SZD0406 from Sichuan Province

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.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.

关 键 词：variational inequalities well-positioned sets barrier cone strict feasibility stably properly quasimonotone 

分 类 号：O177.2[理学—数学]