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

林志

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (2) : 136-143.

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系统科学与数学 ›› 2008, Vol. 28 ›› Issue (2) : 136-143. DOI: 10.12341/jssms10051
论文

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

    林志
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Existence and Stability of the Solutions for the System of Generalized Implicit Vector Variational Inequality Problems with Set-Valued Map

    LIN Zhi
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摘要

介绍了广义集值隐向量变分不等式问题系统,并且通过Kakutani-Fan-Glicksberg不动点定理,建立了其解的存在性结果;在此基础上,研究了广义集值隐向量变分不等式问题系统的稳定性,建立了其解集本质连通区的存在性结果.

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.

关键词

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.

Key words

Generalized implicit vector variational inequality problems with set-valued map / C-continuous / C- convex / C- quasiconvex-like / essential component.

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林志. 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. 系统科学与数学, 2008, 28(2): 136-143. https://doi.org/10.12341/jssms10051
LIN Zhi. Existence and Stability of the Solutions for the System of Generalized Implicit Vector Variational Inequality Problems with Set-Valued Map. Journal of Systems Science and Mathematical Sciences, 2008, 28(2): 136-143 https://doi.org/10.12341/jssms10051
中图分类号： 47H10    47H04    49J40   
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