Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization
type: Item
instance of: scholarly article
title: Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization
zbMATH Open document ID: 1403.49010
author: Nguyen Le Hoang Anh
published in: Positivity
publication date: 2018-11-15T00:00:00Z
review text: The author introduces higher-order generalized Studniarski epiderivatives of set-valued maps that are employed in order to deliver optimality conditions for set-valued optimization problems and even for introducing a duality theory for such problems, for which weak, strong and converse duality assertions are provided. Plans towards algorithmical approaches for such problems by means of duality are briefly sketched.
reviewed by: Sorin-Mihai Grad
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 49K99
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C56
Mathematics Subject Classification ID: 49M29
zbMATH DE Number: 6979802
zbMATH Keywords: higher-order generalized Studniarski epiderivative
zbMATH Keywords: weak efficient solution
zbMATH Keywords: strict efficient solution
zbMATH Keywords: optimality condition
zbMATH Keywords: duality
MaRDI profile type: Publication
full work available at URL: s11117-018-0582-5
OpenAlex ID: W2803710025
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Wikidata QID: Q129808605
DOI: 10.1007/S11117-018-0582-5
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description: scientific article; zbMATH DE number 6979802