The q-asymptotic function in c-convex analysis. (3rd July 2019)

• Record Type: Journal Article
• Authors: Iusem, A.; Lara, F.
• Is Part Of: Optimization. Volume 68:Number 7(2019)
• Page Start: 1429
• Page End: 1445
• Publication Date: 2019-07-03
• Subjects: Asymptotic functions -- generalized convexity -- conjugacies -- subdifferentials -- support functions -- optimality conditions; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1456540
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: We establish several connections between generalized asymptotic functions and different areas of convexity theory, without coercivity assumptions. Properties and characterizations of abstract subdifferentials, normal cones, conjugates, support functions and optimality conditions for the minimization problem are given. We provide a new result on existence of minimizers for a class of nonconvex functions which is strictly larger than the class of quasiconvex ones.