Directionally generalized differentiation for multifunctions and applications to set-valued programming problems

The aim of this work is twofold. First, we establish sum rules for the directionally coderivatives of multifunctions and intersection rules for the directionally limiting normal cones. Then, we apply the provided formulas to derive directionally necessary conditions for a set-valued optimization pro...

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Vydané v:Annals of operations research Ročník 269; číslo 1-2; s. 727 - 751
Hlavní autori: Thinh, Vo Duc, Chuong, Thai Doan
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.10.2018
Springer
Springer Nature B.V
Predmet:
Business and Management
Combinatorics
Cones
Functions (Mathematics)
Management science
Mathematical research
Operations research
Operations Research/Decision Theory
Optimization theory
Raota-2016
Studies
Sum rules
Theory of Computation
Optimality condition
Directional subdifferential
Directional coderivative
Set-valued optimization
ISSN:0254-5330, 1572-9338
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Popis
Shrnutí:The aim of this work is twofold. First, we establish sum rules for the directionally coderivatives of multifunctions and intersection rules for the directionally limiting normal cones. Then, we apply the provided formulas to derive directionally necessary conditions for a set-valued optimization problem with equilibrium constraints.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-017-2400-z