Approximate weak and proper subdifferentials of the difference of two vector convex mappings and applications
Journal of Applied and Numerical Optimization · 2025
In this paper, we provide a general formula concerning the weak and proper approximate subdifferentials of the difference of two vector convex mappings (DC) in terms of the star difference.This formula is applied to establish necessary and sufficient approximate optimality conditions, characterizing weakly and properly approximate efficient solutions for a constrained DC programming problem and a constrained multiobjective fractional programming problem.