(∧, C)-contingent derivatives of set-valued maps

被引：19

作者：

Rodriguez-Marin, Luis ^{[1
]}

Sama, Miguel ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 335卷 / 02期

关键词：

ordered space; derivatives of set-valued maps; optimality conditions;

D O I：

10.1016/j.jmaa.2007.01.105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a new notion of differentiability of set-valued maps is introduced. Based on ordered spaces techniques, (Lambda, C)-lower and (Lambda, C)-upper contingent derivatives are defined. Conditions for (Lambda, C)differentiability are given. Furthermore we show that these concepts are suitable for the formulation of optimality conditions for set-valued optimization problems with set-optimization criteria. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：974 / 989

页数：16

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