Nonregular mixed-constrained optimization problems. (16th December 2022)

• Record Type: Journal Article
• Authors: Melo, A. S.; dos Santos, L. B.; Rojas-Medar, M. A.
• Is Part Of: Optimization. Volume 71:Number 16(2022)
• Page Start: 4879
• Page End: 4903
• Publication Date: 2022-12-16
• Subjects: Nonregular problems -- optimality conditions -- generalized constraint qualifications; 90C30 -- 90C26 -- 90C46; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1970750
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : We present higher-order necessary optimality conditions for mixed-constrained problems. We study the case when the constraints of the problems are not assumed to be regular at a solution. We introduce some new generalized regularity conditions and we obtain Karush–Kuhn–Tucker type necessary optimality conditions. Also, we discuss the connections between these new regularity conditions and the Lagrange multipliers set. Some examples are presented to illustrate our results.