Set-relations and optimality conditions in set-valued maps

被引：86

作者：

Alonso, M ^{[1
]}

Rodríguez-Marín, L ^{[1
]}

机构：

[1] Univ Nacl Educ Distancia, Dept Matemat Aplicada 1, ETSI Ind, Madrid 28080, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 08期

关键词：

set-valued optimization; set optimization with set-valued maps; directional derivative; optimality conditions;

D O I：

10.1016/j.na.2005.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Problems in set-valued optimization can be solved via set-optimization. In this paper properties of set-optimization are investigated. Conditions for existence of solutions are established. Directional derivatives are studied for set-valued mappings. Necessary and sufficient conditions in the existence of solutions are showed with directional derivatives. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1167 / 1179

页数：13

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