Approximate Subdifferential of the Difference of Two Vector Convex Mappings
Abdelghali Ammar, Mohamed Laghdir, Ahmed Ed-dahdah, Mohamed Hanine · Mathematics · 2023
This paper deals with the strong approximate subdifferential formula for the difference of two vector convex mappings in terms of the star difference. This formula is obtained via a scalarization process by using the approximate subdifferential of the difference of two real convex functions established by Martinez-Legaz and Seeger, and the concept of regular subdifferentiability. This formula allows us to establish approximate optimality conditions characterizing the approximate strong efficient solution for a general DC problem and for a multiobjective fractional programming problem.