Research Communication | Open Access
Volume 2020 | Communication ID 39 |

Calculus rules of generalized proper ?-subdifferential for vector valued mappings and applications

Mohamed Laghdir
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
11 December 2019
26 December 2019
10 March 2020

Abstract: This work deals with a new concept of subdifferential defined in the Pareto sense and adapted to nonconvex vector mappings, called generalized proper approximate subdifferential. Some existence theorems and properties are established. We give the calculus rules of the generalized proper approximate subdifferential for the sum and the difference of two vector valued mappings. We study optimality conditions of constrained vector optimization problems.