Existence of Solutions of New Generalized Mixed Vector Variational-Like Inequalities in Reflexive Banach Spaces

被引：0
作者：
Somyot Plubtieng
Tipphawan Thammathiwat
机构：
[1] Naresuan University,Department of Mathematics, Faculty of Science
来源：
Journal of Optimization Theory and Applications | 2014年 / 162卷
关键词：
Generalized mixed vector variational-like inequalities; Semimonotonicity; Complete semicontinuous; Fan-KKM theorem; Brouwer fixed point theorem;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we extend the concept of monotonicity for a vector set-valued mapping to semimonotonicity for a vector set-valued mapping. Then, we prove solvability results for a class of new generalized mixed vector variational-like inequalities by applying the Fan-KKM theorem and Nadler’s result. On the other hand, we introduce the concepts of complete semicontinuity and strong semicontinuity for vector multivalued mappings. Moreover, by using the Brouwer fixed point theorem, we prove the solvability for the class of generalized vector variational-like inequalities without monotonicity assumption. Using this result, we obtain a theorem and corollary that improve and extend some known results.
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页码：589 / 604
页数：15
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