Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems. (10th October 2022)

• Record Type: Journal Article
• Authors: Bazargan, Fatemeh; Mohebi, Hossein
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 14(2022)
• Page Start: 1617
• Page End: 1646
• Publication Date: 2022-10-10
• Subjects: Karush-Kuhn-Tucker conditions -- nonconvex constraint -- nonsmooth constraint qualification -- nonsmooth optimization -- optimality condition -- tangential subdifferentials -- tangentially convex function; 90C26 -- 90C30 -- 90C46; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2116045
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we study various nonsmooth constraint qualifications for a system of inequalities with tangentially convex functions. This is done by using the notion of tangential subdifferentials together with various nonsmooth (generalized) constraint qualifications that are a modification of the well known constraint qualifications. Indeed, we establish new links among various generalized constraint qualifications. We also give a table summarizing various links among the generalized constraint qualifications. Several illustrative examples are presented to clarify the connection between nonsmooth constraint qualifications.