Research Communication | Open Access
Volume 2019 | Communication ID 91
Volume 2019 | Communication ID 91
| Calculus rules of generalized weak approximate subdifferential for vector valued mappings and applications |
Mohamed Laghdir, Abdelghali Ammar, Ennouri Tazi, Ahmed Rikouane
Received |
Accepted |
Published |
Jan 23, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In the last few years, the study of vector optimization has led many authors to introduce a notion of subdifferential for non differentiable vector valued mappings. Recently, the notion of generalized approximate subdifferential is introduced in [1], which is a global notion and weaker than the strong subdifferential. The authors developed some proprieties, established some formulas for the sum and the difference of two vector mappings and give an application dealing with the optimality conditions for a vector optimization problem. The main objective of this work is to introduce in ...