Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 202
A Note on Subdifferentials of Convex Multi-composite Functionals
Issam Dali, Laghdir Mohamed, Mohamed Bilal Moustaid
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 25, 2022
March 03, 2178
April 15, 2178

Abstract: Motivated by the recent contribution of Wanka and Wilfer [1], the purpose of this paper is to derive a calculus rule of convex subdifferentials (called the multi-composition rule) devoted to characterize the subdifferential of multi-composed convex functions defined on Banach spaces. This type of calculus recovers the classical sum rule as well as the classical composition rule in convex subdifferential calculus (see for instance [2]). As an application of the main result of this paper, necessary and sufficient Karush-Kuhn-Tucker type optimality conditions for constrained convex minmax ...