Stampacchia 广义向量拟均衡问题II

王三华;傅俊义

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (4) : 567-576.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (4) : 567-576. DOI: 10.12341/jssms08395
论文

Stampacchia 广义向量拟均衡问题II

    王三华, 傅俊义
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Stampacchia Generalized Vector Quasi-Equilibrium Problem II

    WANG Sanhua, FU Junyi
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摘要

通过引进锥对角拟凸概念, 讨论了Stampacchia 广义向量拟均衡问题解的存在性.由于该问题包含了许多形式的变分不等式与均衡问题作为特例,所得解的存在性结果推广和发展了近期的一些研究结果,主要有以下两个方面: 1)放宽了对连续性的要求; 2)由数值型推广到了向量型.

Abstract

In this article, the Stampacchia generalized vector quasi-equilibrium problem is introduced, and the existence of solution is studied by virtue of the new concept of C-diagonally quasi-convex. Since the problem includes many variational inequality problems and equilibrium problems as special cases, the existence theorems extend and improve some existing results in the recent references: 1) releasing the restriction to the continuity of the mapping; 2) extending the mapping from numeric type to vector type.

关键词

广义向量拟均衡问题 / 局部凸空间 / C-对角拟凸 / 连续选择 / 不动点.

Key words

Generalized vector quasi-equilibrium problem / locally convex space / C-diagonally quasi-convex / continuous selection / fixed point.

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王三华 , 傅俊义. Stampacchia 广义向量拟均衡问题II. 系统科学与数学, 2009, 29(4): 567-576. https://doi.org/10.12341/jssms08395
WANG Sanhua , FU Junyi. Stampacchia Generalized Vector Quasi-Equilibrium Problem II. Journal of Systems Science and Mathematical Sciences, 2009, 29(4): 567-576 https://doi.org/10.12341/jssms08395
中图分类号： 49J27   
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