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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Veröffentlicht in:Annals of operations research Jg. 269; H. 1-2; S. 727 - 751
Hauptverfasser: Thinh, Vo Duc, Chuong, Thai Doan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.10.2018
Springer
Springer Nature B.V
Schlagworte:
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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Beschreibung
Zusammenfassung: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.
Bibliographie: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