Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints

Abstract In this paper, we study the duality theorems of a nondifferentiable semi-infinite interval-valued optimization problem with vanishing constraints (IOPVC). By constructing the Wolfe and Mond–Weir type dual models, we give the weak duality, strong duality, converse duality, restricted convers...

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Autores principales:	Haijun Wang, Huihui Wang
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Locally Lipschitz function Nondifferentiable semi-infinite interval-valued optimization problems Vanishing constraints Wolfe type dual Mond–Weir type dual Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2e58b70ecc214cc59ff592b69ee510b7
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spelling	oai:doaj.org-article:2e58b70ecc214cc59ff592b69ee510b72021-11-08T10:59:13ZDuality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints10.1186/s13660-021-02717-51029-242Xhttps://doaj.org/article/2e58b70ecc214cc59ff592b69ee510b72021-11-01T00:00:00Zhttps://doi.org/10.1186/s13660-021-02717-5https://doaj.org/toc/1029-242XAbstract In this paper, we study the duality theorems of a nondifferentiable semi-infinite interval-valued optimization problem with vanishing constraints (IOPVC). By constructing the Wolfe and Mond–Weir type dual models, we give the weak duality, strong duality, converse duality, restricted converse duality, and strict converse duality theorems between IOPVC and its corresponding dual models under the assumptions of generalized convexity.Haijun WangHuihui WangSpringerOpenarticleLocally Lipschitz functionNondifferentiable semi-infinite interval-valued optimization problemsVanishing constraintsWolfe type dualMond–Weir type dualMathematicsQA1-939ENJournal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Locally Lipschitz function Nondifferentiable semi-infinite interval-valued optimization problems Vanishing constraints Wolfe type dual Mond–Weir type dual Mathematics QA1-939
spellingShingle	Locally Lipschitz function Nondifferentiable semi-infinite interval-valued optimization problems Vanishing constraints Wolfe type dual Mond–Weir type dual Mathematics QA1-939 Haijun Wang Huihui Wang Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints
description	Abstract In this paper, we study the duality theorems of a nondifferentiable semi-infinite interval-valued optimization problem with vanishing constraints (IOPVC). By constructing the Wolfe and Mond–Weir type dual models, we give the weak duality, strong duality, converse duality, restricted converse duality, and strict converse duality theorems between IOPVC and its corresponding dual models under the assumptions of generalized convexity.
format	article
author	Haijun Wang Huihui Wang
author_facet	Haijun Wang Huihui Wang
author_sort	Haijun Wang
title	Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints
title_short	Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints
title_full	Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints
title_fullStr	Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints
title_full_unstemmed	Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints
title_sort	duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/2e58b70ecc214cc59ff592b69ee510b7
work_keys_str_mv	AT haijunwang dualitytheoremsfornondifferentiablesemiinfiniteintervalvaluedoptimizationproblemswithvanishingconstraints AT huihuiwang dualitytheoremsfornondifferentiablesemiinfiniteintervalvaluedoptimizationproblemswithvanishingconstraints
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Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints

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