PROPER CLARKE EPIDERIVATIVE IN SET-VALUED OPTIMIZATION

被引：0

作者：

Lalitha, C. S. ^{[2
]}

Arora, R. ^{[1
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi S Campus, Dept Math, New Delhi 110021, India

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 6A期

关键词：

Set-valued optimization; Epiderivative; Proper minimizers; Tangent cone; Semilocal convexity; OPTIMALITY CONDITIONS; CONTINGENT EPIDERIVATIVES; EFFICIENT SOLUTIONS;

D O I：

10.11650/twjm/1500405609

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the concept of Clarke tangent cone, a new notion of proper Clarke epiderivative for a set-valued map is introduced. Its nature and certain properties are investigated. Finally necessary and sufficient optimality conditions for a constrained set-valued optimization problem have been established in terms of proper Clarke epiderivative.

引用

页码：1695 / 1710

页数：16

共 24 条

[1]

[Anonymous], 1981, MATH ANAL APPL

[2]

Bao TQ, 2007, CONTROL CYBERN, V36, P531

[3] K-epiderivatives for set-valued functions and optimization [J].