Holder continuity of perturbed solution set for convex optimization problems

被引：10
|
作者：
Li, X. B. [1 ]
Li, S. J. [2 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China
[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷
基金：
中国国家自然科学基金;
关键词：
Parametric optimization problems; Perturbed solution sets; Holder continuity; Pompeiu-Hausdorff metric; SENSITIVITY-ANALYSIS; LOWER SEMICONTINUITY; EQUILIBRIUM; STABILITY;
D O I：
10.1016/j.amc.2014.01.095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first establish sufficient conditions for the local uniqueness and Holder continuity of perturbed solution set for a scalar optimization problem. Then, by using a linear scalarization method, we obtain the Holder continuity of two classes of perturbed solution sets for a multiobjective programming problem, respectively. We also give some examples to illustrate that our main results are applicable. These examples are also given to illustrate that our main results are new and different from the ones in literature. (C) 2014 Elsevier Inc. All rights reserved.
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页码：908 / 918
页数：11
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