Optimality Conditions for Nonconvex Constrained Optimization Problems. (10th December 2019)

• Record Type: Journal Article
• Authors: Mashkoorzadeh, F.; Movahedian, N.; Nobakhtian, S.
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 16(2019)
• Page Start: 1918
• Page End: 1938
• Publication Date: 2019-12-10
• Subjects: Constraint qualification -- nonconvex optimization -- nonsmooth optimization -- optimality condition -- tangential subdifferential; (2000) 90C26 -- 90C30 -- 49J52; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1640249
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We present optimality conditions for a class of nonsmooth and nonconvex constrained optimization problems. To achieve this aim, various well-known constraint qualifications are extended based on the concept of tangential subdifferential and the relations between them are investigated. Moreover, local and global necessary and sufficient optimality conditions are derived in the absence of convexity of the feasible set. In addition to the theoretical results, several examples are provided to illustrate the advantage of our outcomes.