Existence theorems for set optimization problems

被引：55

作者：

Hernandez, Elvira ^{[1
]}

Rodriguez-Marin, Luis ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 06期

关键词：

set optimization; set-valued optimization; optimality conditions;

D O I：

10.1016/j.na.2006.08.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider set optimization problems by using a partial ordering based on a set relation. We establish several existence results of minimal elements more general than those existing in the literature. As an application we present sufficient conditions for the existence of solutions of a set-valued optimization problem under some semi-continuity assumption. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1726 / 1736

页数：11

共 15 条

[1] Set-relations and optimality conditions in set-valued maps
Alonso, M
Rodríguez-Marín, L
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (08) : 1167 - 1179
[2] Aubin J.P., 1984, PURE APPL MATH
[3] OPTIMALITY CONDITIONS FOR MAXIMIZATIONS OF SET-VALUED FUNCTIONS
CORLEY, HW
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1988, 58 (01) : 1 - 10
[4] Some variants of the Ekeland variational principle for a set-valued map
Ha, TXD
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 124 (01) : 187 - 206
[5] HAMEL A, 2002, 11 I OPT STOCH
[6] HERNANDEZ E, IN PRESS J MATH ANAL
[7] Jahn J., 2004, VECTOR OPTIMIZATION
[8] KLEIN E, 1984, APPL MATH EC
[9] Kuroiwa D., 2003, Journal of Information & Optimization Sciences, V24, P73, DOI 10.1080/02522667.2003.10699556
[10] On cone convexity of set-valued maps
Kuroiwa, D
Tanaka, T
Truong, XDH
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (03) : 1487 - 1496

← 1 2 →