Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions

Abstract The motivation behind this article is to study a class of nondifferentiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider a class...

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Autores principales:	Dubey,Ramu, Mishra,Vishnu Narayan
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Fractional programming Multiobjective Support function Efficient solutions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100015
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spelling	oai:scielo:S0716-091720200001000152020-02-18Nondifferentiable higher-order duality theorems for new type of dual model under generalized functionsDubey,RamuMishra,Vishnu Narayan Fractional programming Multiobjective Support function Efficient solutions Abstract The motivation behind this article is to study a class of nondifferentiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider a class of higher order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ρ, d)-type-I convex functions. Under these the higher-order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ρ, d)-type-I convexity assumptions, we prove the higher-order weak, higher-order strong and higher-order converse duality theorems related to efficient solution.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.1 20202020-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100015en10.22199/issn.0717-6279-2020-01-0002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fractional programming Multiobjective Support function Efficient solutions
spellingShingle	Fractional programming Multiobjective Support function Efficient solutions Dubey,Ramu Mishra,Vishnu Narayan Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions
description	Abstract The motivation behind this article is to study a class of nondifferentiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider a class of higher order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ρ, d)-type-I convex functions. Under these the higher-order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ρ, d)-type-I convexity assumptions, we prove the higher-order weak, higher-order strong and higher-order converse duality theorems related to efficient solution.
author	Dubey,Ramu Mishra,Vishnu Narayan
author_facet	Dubey,Ramu Mishra,Vishnu Narayan
author_sort	Dubey,Ramu
title	Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions
title_short	Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions
title_full	Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions
title_fullStr	Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions
title_full_unstemmed	Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions
title_sort	nondifferentiable higher-order duality theorems for new type of dual model under generalized functions
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100015
work_keys_str_mv	AT dubeyramu nondifferentiablehigherorderdualitytheoremsfornewtypeofdualmodelundergeneralizedfunctions AT mishravishnunarayan nondifferentiablehigherorderdualitytheoremsfornewtypeofdualmodelundergeneralizedfunctions
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Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions

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