Duality theorems for a new class of multitime multiobjective variational problems
type: Item
instance of: scholarly article
title: Duality theorems for a new class of multitime multiobjective variational problems
zbMATH Open document ID: 1250.65084
author: Ariana Pitea
author: Mihai Postolache
published in: Journal of Global Optimization
publication date: 2012-08-24T00:00:00Z
review text: Curvilinear integral objectives are extensively used in mechanical engineering and in robotics due to their physical meaning as mechanical work. The authors consider multitime multiobjective variational problems of minimization of vector functionals of curvilinear integral type. They give weak duality theorems, proving that the value of the objective function of the primal cannot exceed the value of the dual. They study also the connection between the objective functions of the primal and dual problems.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 26B25
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 49J21
zbMATH DE Number: 6072081
zbMATH Keywords: multitime multiobjective problem
zbMATH Keywords: efficient solution
zbMATH Keywords: quasiinvexity
zbMATH Keywords: duality
zbMATH Keywords: curvilinear integral objectives
zbMATH Keywords: primal and dual problems
reviewed by: Bülent Karasözen
MaRDI profile type: Publication
full work available at URL: s10898-011-9740-z
OpenAlex ID: W2082826182
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DOI: 10.1007/S10898-011-9740-Z
description: scientific article; zbMATH DE number 6072081