Minimizing the difference of two quasiconvex functions over a vector-valued quasiconvex system. (3rd May 2020)

• Record Type: Journal Article
• Authors: Dempe, Stephan; Gadhi, Nazih Abderrazzak; Hamdaoui, Khadija
• Is Part Of: Optimization. Volume 69:Number 5(2020)
• Page Start: 997
• Page End: 1012
• Publication Date: 2020-05-03
• Subjects: Basic constraint qualification -- quasiconvex functions -- generators -- extreme directions -- Q-subdifferentials; Primary 90C26 -- 90C46 -- Secondary 49K99; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2019.1672166
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : The article is concerned with an optimization problem P where we minimize the difference of two quasiconvex scalar functions under a vector-valued quasiconvex system. Using the Q-subdifferential introduced by Suzuki and Kuroiwa [Optimality conditions and the basic constraint qualification for quasiconvex programming. Nonlinear Anal. 2011;74:1279–1285], together with a special constraint qualification, we give necessary optimality conditions to P .