Optimality conditions and duality for multiobjective variational problems with generalized \(B\)-invexity
type: Item
instance of: scholarly article
title: Optimality conditions and duality for multiobjective variational problems with generalized \(B\)-invexity
zbMATH Open document ID: 1030.90114
author: Aparna Mehra
author: Davinder Bhatia
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-12-14T00:00:00Z
review text: A multiobjective variational problem is considered. B-type I functions and some generalized \(B\)-type \(I\) functions are defined. Using these definitions necessary and sufficient optimality conditions (in the sense of (proper) efficiency) are proved. Weak and strong duality theorems are presented and some related problems discussed. The results obtained are stronger than earlier results by various authors.
reviewed by: Matthias Ehrgott
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 58E35
zbMATH DE Number: 1334715
zbMATH Keywords: multiobjective programming
zbMATH Keywords: variational problem
zbMATH Keywords: duality
zbMATH Keywords: B-type I functions
zbMATH Keywords: properly efficient solutions
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6256
OpenAlex ID: W2075211451
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DOI: 10.1006/JMAA.1998.6256
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description: scientific article; zbMATH DE number 1334715