Symmetric duality for multiobjective variational problems with invexity
type: Item
instance of: scholarly article
title: Symmetric duality for multiobjective variational problems with invexity
zbMATH Open document ID: 0899.90141
author: Wonjung Lee
author: Do Sang Kim
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-11-17T00:00:00Z
review text: A pair of multiobjective nonlinear symmetric dual continuous programming problems are formulated. For the single objective case these problems become the symmetric dual pair of \textit{I. Smart} and \textit{B. Mond} [J. Math. Anal. Appl. 152, No. 2, 536-545 (1990; Zbl 0714.49039)]. Under invexity assumptions, weak, strong, converse, and self duality theorems are established for the pair of multiobjective problems, using the concept of efficient (Pareto) optimum. The static case of symmetric duality is deduced.
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 1123509
zbMATH Keywords: multiobjective nonlinear symmetric dual continuous programming
zbMATH Keywords: invexity
zbMATH Keywords: duality theorems
reviewed by: B. D. Craven
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5730
OpenAlex ID: W2037104745
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DOI: 10.1006/JMAA.1997.5730
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description: scientific article; zbMATH DE number 1123509