On vector valued variational problems
type: Item
instance of: scholarly article
zbMATH Open document ID: 1336.90087
publication date: 2014-11-10T00:00:00Z
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C11
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 6367778
zbMATH Keywords: vector-valued variational problem
zbMATH Keywords: second-order duality
zbMATH Keywords: mixed type second-order duality
zbMATH Keywords: second-order generalized invexity
zbMATH Keywords: multiobjective nonlinear programming problem
MaRDI profile type: Publication
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author: I. Husain
author: Vikas K. Jain
title: On vector valued variational problems
published in: Theoretical Mathematics and Applications
review text: The authors present Mond-Weir-type second-order duality for a class of vector-valued variational problems in the presence of equality and inequality constraints. In order to relax the second-order invexity requirements on the functions that constitute this pair of second-order dual multiobjective variational problems, under the generalized second-order invexity, various second-order duality results are derived for this pair of multiobjective variational problems. Further, a mixed type second-order duality for this class of multiobjective variational problems is also given. Finally, a relationship between the presented duality results and those of nonlinear multiobjective programming problems is outlined through the pair of second-order multiobjective variational problems with natural boundary values.
reviewed by: Nada Djuranović-Miličić
description: scientific article; zbMATH DE number 6367778