Optimality Conditions for Vector Equilibrium Problems in Terms of Contingent Epiderivatives. (2nd February 2016)

• Record Type: Journal Article
• Authors: Su, Tran Van
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 5(2016)
• Page Start: 640
• Page End: 665
• Publication Date: 2016-02-02
• Subjects: contingent epiderivative -- efficient solutions -- optimality condition -- stable functions -- tangent cone -- vector equilibrium problems; 90C46 -- 90C29 -- 90C48 -- 49J52; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1155158
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this article, we study some important properties of contingent epiderivatives concerning steady functions and a cone with a compact base along with its applications to establish necessary and sufficient optimality conditions for weakly efficient, Henig efficient, globally efficient and superefficient solutions for no constraints and constraints (it concludes cone constraint, equality constraint and a constraint set) vector equilibrium problems in terms of contingent epiderivatives. We also give some examples to illustrate obtained results.