Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems

N. Q. Huy; D. S. Kim

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Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems

机译：非凸半无限矢量优化问题解的Lipschitz行为

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摘要

This paper is devoted to developing new applications from the limiting subdif-ferential in nonsmooth optimization and variational analysis to the study of the Lipschitz behavior of the Pareto solution maps in parametric nonconvex semi-infinite vector optimization problems (SIVO for brevity). We establish sufficient conditions for the Aubin Lipschitz-like property of the Pareto solution maps of SI VO under perturbations of both the objective function and constraints.

机译：本文致力于开发新的应用程序，从非光滑优化和变分分析中的极限亚微分，到参数非凸半无限矢量优化问题（为简便起见，SIVO）中帕累托解图的Lipschitz行为的研究。我们为目标函数和约束的扰动下的SI VO的Pareto解图的Aubin Lipschitz似性质建立了充分条件。

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来源
《Journal of Global Optimization》 |2013年第2期|431-448|共18页
作者
N. Q. Huy; D. S. Kim;
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作者单位

Department of Mathematics, Hanoi Pedagogical University No. 2,Xuan Hoa, Phuc Yen, Vinh Phuc Province, Vietnam;

Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Republic of Korea;

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正文语种 eng
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关键词
Nonconvex semi-infinite vector optimization; Pareto solution map; Aubin Lipschitz-like property; Perturbations; Constraint qualification;

机译：非凸半无限矢量优化;帕累托解图;Aubin Lipschitz样的性质;摄动;约束条件;

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Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems

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