Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle

被引：17

作者：

Gutierrez, C. ^{[2
]}

Jimenez, B. ^{[1
]}

Novo, V. ^{[1
]}

Thibault, L. ^{[3
]}

机构：

[1] Univ Nacl Educ Distancia, Dept Matemat Aplicada, ETSI Ind, Madrid 28040, Spain

[2] Univ Valladolid, Dept Matemat Aplicada, ETSI Informat, Valladolid 47011, Spain

[3] Univ Montpellier 2, Dept Math Sci, F-34095 Montpellier 5, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 12期

关键词：

Set-valued optimization; Set solution criterion; Approximate solution; Strict solution; Existence theorem; Ekeland variational principle; OPTIMALITY CONDITIONS; EXISTENCE; MAPPINGS; THEOREMS; MAPS;

D O I：

10.1016/j.na.2010.08.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with strict solutions of set-valued optimization problems under the set optimality criterion. In this context, we introduce a new approximate solution concept and we obtain several properties of these solutions when the error is fixed and also for their limit behavior when the error tends to zero. Then we prove a general existence result, which is applied to obtain approximate Ekeland variational principles. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3842 / 3855

页数：14

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