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

Mohamed Laghdir · 2020

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.

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