K-epiderivatives for set-valued functions and optimization

被引：29
|
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.
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页码：401 / 412
页数：12
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