Karush-Kuhn-Tucker Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming Via Tangential Subdifferentials. (25th April 2020)

• Record Type: Journal Article
• Authors: Tung, Le Thanh
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 6(2020)
• Page Start: 659
• Page End: 684
• Publication Date: 2020-04-25
• Subjects: Efficient solutions -- Karush-Kuhn-Tucker optimality conditions -- Mond-Weir duality -- multiobjective semi-infinite programing -- tangential subdifferentials -- weakly efficient solutions -- Wolfe duality; 90C32 -- 90C29 -- 49K99; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1667826
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The aim of this article is to study Karush-Kuhn-Tucker optimality conditions and duality for nonsmooth multiobjective semi-infinite programing (MSIP). By using tangential subdifferentials and suitable generalized constraint qualifications, we establish necessary and sufficient optimality conditions for some types of efficient solutions of the MSIP. We also propose Wolfe and Mond-Weir type duality for the MSIP and explore weak and strong duality relations under generalized convexity.