Existence of solutions for mixed variational inequalities with perturbation in Banach spaces

被引：0
作者：
Guo-ji Tang
Yan-shu Li
机构：
[1] Guangxi University for Nationalities,School of Science
[2] Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis,undefined
来源：
Optimization Letters | 2020年 / 14卷
关键词：
Mixed variational inequality; Perturbation; Coercivity condition; Existence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is mainly devoted to the existence of solutions of generalized mixed variational inequalities (GMVI for short) with perturbation in reflexive Banach spaces. When the constraint set is weakly compact, we deduce two existence theorems for GMVI. Based on these two existence theorems, when the constraint set is unbounded, we obtain some existence theorems for GMVI perturbed by a nonlinear continuous mapping in finite dimensional spaces (resp. a multiplication of a scalar and a vector taken from the interior of the barrier cone of the constraint set in reflexive Banach spaces). The main results presented in this paper generalize some corresponding known results.
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页码：637 / 651
页数：14
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