Η-Approximation Method for Non-convex Multiobjective Variational Problems. (2nd September 2017)

• Record Type: Journal Article
• Authors: Antczak, Tadeusz; Michalak, Anna
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 9(2017)
• Page Start: 1125
• Page End: 1142
• Publication Date: 2017-09-02
• Subjects: η-Approximated method -- efficient solution -- invexity -- multiobjective variational problems; 65K10 -- 90C29 -- 90C30 -- 90C46; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1314970
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we use the η -approximation method for a class of non-convex multiobjective variational problems with invex functionals. In this approach, for the considered multiobjective variational problem, the associated η -approximated multiobjective variational problem is constructed at the given feasible solution. The equivalence between (weakly) efficient solutions in the original multiobjective variational problem and its associated η -approximated multiobjective variational problem is established under invexity hypotheses.