Approximate Subdifferential of the Difference of Two Vector Convex Mappings

Abdelghali Ammar, Mohamed Laghdir, Ahmed Ed-dahdah and Mohamed Hanine ()
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Abdelghali Ammar: Department of Computer Engineering, Networks and Telecommunications, National School of Applied Sciences, Cadi Ayyad University, BP. 63, Safi 46000, Morocco
Mohamed Laghdir: Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, BP. 20, El Jadida 24000, Morocco
Ahmed Ed-dahdah: Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, BP. 20, El Jadida 24000, Morocco
Mohamed Hanine: Department of Telecommunications, Networks, and Informatics, National School of Applied Sciences, Chouaib Doukkali University, El Jadida 24000, Morocco

Mathematics, 2023, vol. 11, issue 12, 1-14

Abstract: 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.

Keywords: vector optimization; optimality condition; approximate subdifferential; DC programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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