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OALib Journal期刊
ISSN: 2333-9721
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Existence and Stability of the Solutions for the System of Generalized Implicit Vector Variational Inequality Problems with Set-Valued Map
广义集值隐向量变分不等式问题系统解的存在性与稳定性

Keywords: Generalized implicit vector variational inequality problems with set-valued map,$C$-continuous,$C$- convex,$C$- quasiconvex-like,essential component
广义集值隐向量变分不等式问题
,C-连续,C-凸,C-似拟凸,本质连通区,集值,向量变分不等式问题,系统解,存在性结果,稳定性,PROBLEMS,VECTOR,VARIATIONAL,INEQUALITY,IMPLICIT,GENERALIZED,SYSTEM,SOLUTIONS,STABILITY,本质连通区,解集,研究,定理,不动点,问题系统

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Abstract:

In this paper, the system of generalized implicit vector variational inequality problems with set-valued map is introduced. By Kakutani-Fan-Glicksberg fixed points theorem, the existence result of its solutions is established. Further, the stability and the essential component result of the solution set for the system are given.

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