K-epiderivatives for set-valued functions and optimization

被引：30

作者：

Bigi, G

Castellani, M

机构：

[1] Univ Pisa, Dipartimento Informat, I-56125 Pisa, Italy

[2] Univ Laquila, Dipartimento Sistemi, I-67040 Laquila, Italy

[3] Univ Laquila, Ist Econ, I-67040 Laquila, Italy

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2002年 / 55卷 / 03期

关键词：

tangent cones; K-derivatives and K-epiderivatives; set-valued optimization; optimality conditions;

D O I：

10.1007/s001860200187

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Exploiting different tangent cones, many derivatives for set-valued functions have been introduced and considered to study optimality. The main goal of the paper is to address a general concept of K-epiderivative and to employ it to develop a quite general scheme for necesary optimality conditions in set-valued problems.

引用

页码：401 / 412

页数：12

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