Approximate strong subdifferential calculus for convex set-valued mappings and applications to set optimization

M. Echchaabaoui and M. Laghdir – GJM, Volume 10, Issue 1 (2025), 39-55.

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• septembre 17, 2025
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In this paper, we are mainly concerned with a rule for approximate strong subdifferential, concerning the sum and the composition of cone-convex set-valued vector mappings, taking values in finite or infinite-dimensional preordred spaces. The obtained formulas is exact and holds under the connectedness conditions. This formula is applied to establish approximate necessary and sufficient optimality conditions for the existence of the approximate strong efficient solutions of a set-valued vector optimization problem.

Milestones:

Received: March 15, 2025
Accepted: August 01, 2025
Published: August 30, 2025

Authors:

El Mahjoub Echchaabaoui and Mohamed Laghdir
Department of Mathematics, Faculty of Sciences
Chouaib Doukkali University, BP. 20.
El Jadida, Morocco

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