Sufficient Optimality Conditions for a Bilevel Semivectorial D.C. Problem. (18th November 2018)

• Record Type: Journal Article
• Authors: Gadhi, Nazih Abderrazzak; Dempe, Stephan
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 15(2018)
• Page Start: 1622
• Page End: 1634
• Publication Date: 2018-11-18
• Subjects: Bilevel optimization -- convex functions -- D. C. functions -- multiobjective optimization -- optimal value function -- sufficient optimality conditions; Primary 90C29 -- Secondary 49K99; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1488141
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The paper is devoted to the study of a bilevel multiobjective optimization problems with objectives and constraints given as differences of convex functions. The main attention is paid to deriving sufficient optimality conditions. Several intermediate optimization problems are introduced to help us in our investigation.