ON THE STABILITY OF SOLUTIONS FOR THE GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS VIA FREE-DISPOSAL SET

被引：4

作者：

Wang, Jingjing ^{[1
]}

Peng, Zaiyun ^{[1
]}

Lin, Zhi ^{[1
]}

Zhou, Daqiong ^{[1
]}

机构：

[1] Chongqing JiaoTong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2021年 / 17卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Generalized vector quasi-equilibrium problems; free-disposal set; the oriented distance function; semicontinuity; Painleve-Kuratowski convergence; EFFICIENT SOLUTION; EXISTENCE; SCALARIZATION;

D O I：

10.3934/jimo.2020002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we mainly discuss the stability of generalized vector quasi-equilibrium problems (GVQEPs) where the ordering relations are defined by free-disposal set. Firstly, by virtue of the oriented distance function (Delta), gap functions for (GVQEPs) are given and some properties of them are studied. Then, under some types of continuity assumption, the sufficient conditions of the upper semicontinuity and the upper Painleve-Kuratowski convergence of solutions for (GVQEPs) are talked about. Moreover, sufficient and necessary conditions of the lower semicontinuity and the lower Painleve-Kuratowski convergence of solutions for (GVQEPs) are obtained in normed linear spaces. Some examples are given to illustrate the results, and our results are new and extend some known results in the literature.

引用

页码：869 / 887

页数：19

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