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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Bibliographic Details
Published in:	Annals of operations research Vol. 269; no. 1-2; pp. 727 - 751
Main Authors:	Thinh, Vo Duc, Chuong, Thai Doan
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2018 Springer Springer Nature B.V
Subjects:	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
Online Access:	Get full text
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