Optimality Conditions for Weakly ϵ-Efficient Solutions of Vector Optimization Problems with Applications. (26th April 2019)

• Record Type: Journal Article
• Authors: Capătă, Adela
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 6(2019)
• Page Start: 726
• Page End: 741
• Publication Date: 2019-04-26
• Subjects: Weakly ϵ-efficient solution -- nearly D(ϵ)-subconvexlikeness -- separation theorem -- vector optimization problems; 49K35 -- 90C46; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1571510
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The aim of this article is to provide necessary and sufficient conditions for a feasible point to be a weakly ϵ -efficient solution of a vector optimization problem with cone constraints under generalized convexity notions and a weak constraint qualification. Our results permit to recover earlier established theorems.