Research Communication | Open Access
Volume 2019 | Communication ID 88
Volume 2019 | Communication ID 88
| A Generalized Sequential Formula for Subdifferentials of Multi-composed Functions Defined on Banach Spaces and Applications |
Issam Dali, Mohamed Laghdir, Mohamed Bilal Moustaid
Received |
Accepted |
Published |
Jan 23, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: Recently, the sequential approach introduced in [1-5] has received an increasing interest. Indeed, this approach enables us to characterize an optimal solution of a scalar or vector convex programming problems in terms of sequences or nets, without imposing any constraint qualification. In this work, we present a sequential formula for the subdifferential of a multi-composed convex function and as an application, we provide sequential optimality conditions for a general multi-composed optimization problem with geometric and cone constraints, without any qualification condition. ...