Continuity of the solution set mappings to parametric unified weak vector equilibrium problems via free-disposal sets

被引：18

作者：

Zhou, Daqiong ^{[1
,2
]}

Peng, Zaiyun ^{[1
]}

Lin, Zhi ^{[1
]}

Wang, Jingjing ^{[1
,3
]}

机构：

[1] Chongqing JiaoTong Univ, Coll Math & Stat, Chongqing 400047, Peoples R China

[2] Chongqing City Vocat Coll, Chongqing 402106, Peoples R China

[3] Chongqing Univ Sci & Technol, Sch Math Phys & Big data, Chongqing 401331, Peoples R China

来源：

RAIRO-OPERATIONS RESEARCH | 2024年 / 58卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Parametric unified vector equilibrium problem; free-disposal set; nonlinear scalarization function; semicontinuity; EFFICIENT SOLUTIONS; LOWER SEMICONTINUITY; STABILITY;

D O I：

10.1051/ro/2024028

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, the lower and upper semicontinuity of the solution mappings for parametric unified weak vector equilibrium problem (PUWVEP) are established, via free-disposal set and non-linear scalarization function. Moreover, example is given to illustrate the obtained results. The results improve the corresponding ones in the literature [Z.Y. Peng and S.S. Chang, Optim. Lett. (2014) 8 159-169.], [Z.Y. Peng, X.B. Li, X.J. Long and X.D. Fan, Optim. Lett. (2018) 12 1339-1356.], [Z.Y. Peng, J.W. Peng, X.J. Long and J.C. Yao, J. Global Optim. 70 (2018) 55-69.].

引用

页码：5301 / 5308

页数：8

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