Upper Holder continuity of parametric vector optimization problems

被引：1

作者：

Hu, Xian-Fu ^{[1
]}

Xue, Xiao-Wei ^{[2
]}

机构：

[1] Chongqing City Management Vocat Coll, Sch Elect Engn, Chongqing 401331, Peoples R China

[2] Nanyang Normal Univ, Coll Math & Stat, Nanyang 473061, Henan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

vector optimization problem; solution mapping; optimal value mapping; Holder continuity; Holder calmness; EQUILIBRIUM PROBLEMS; SOLUTION SET; INEQUALITY;

D O I：

10.1186/s13660-016-1225-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with upper Holder continuity and Holder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Holder continuity and Holder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014).

引用

页数：12

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