Painleve-Kuratowski Convergence of Solution Sets for Generalized Strong Vector Quasi-Equilibrium Problem with Domination Structure

被引：0

作者：

Bantaojai, Thanatporn ^{[1
]}

Wangkeeree, Rabian ^{[2
]}

机构：

[1] Valaya Alongkorn Rajabhat Univ Royal Patronage, Math English Program, Fac Educ, Klongluang, Phathum Thani, Thailand

[2] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok, Chang Wat Phits, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2018年 / 16卷

关键词：

generalized strong vector quasi-equilibrium problem; domination structure; Painleve-Kuratowski convergence; continuous convergence; gap function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the stability of the solution set for a generalized strong vector quasi-equilibrium problem with domination structure (GSVQEP), that is, we study Painleve-Kuratowski convergence of the solution sets with a sequence of mappings converging continuously and sequence of set converging in the sense of Painleve-Kuratowski. Our main results are new and different from the existing ones in the literature. Illustrating examples are provied.

引用

页码：396 / 416

页数：21

共 42 条

[1] Generalized strong vector quasi-equilibrium problem with domination structure
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Journal of Global Optimization, 2013, 55 : 839 - 847
[2] Generalized strong vector quasi-equilibrium problem with domination structure
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[3] Painleve-Kuratowski Convergence of Solutions for Perturbed Symmetric Set-Valued Quasi-Equilibrium Problem via Improvement Sets
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[10] Painleve-Kuratowski Convergences for the Solution Sets of Set-Valued Weak Vector Variational Inequalities
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