Issam Dali, Mohamed Bilal Moustaid, Pareto $\varepsilon$-$\sigma$-subdifferential multi-composition rule

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DOI: 10.23952/asvao.7.2025.1.08
Volume 7, Issue 1, 1 April 2025, Pages 125-142

Abstract. In this paper, we study Pareto $\varepsilon$ -subdifferentials and establish a calculus rule for the (Henig) proper and weak Pareto $\varepsilon$ -subdifferentials (Pareto $\varepsilon$ -$\sigma$-subdifferentials for short) of multi-composed convex vector valued mappings defined in the setting of real Hausdorff topological vector spaces. As applications, via this calculus rule, we obtain necessary and sufficient conditions characterizing $\varepsilon$ – $\sigma$ -efficient solutions of constrained multi-composed convex vector optimization problems and bi-objective Weber-minimax facility location problems with infimal distances.

How to Cite this Article:
I. Dali, M.B. Moustaid, Pareto $\varepsilon$ – $\sigma$ -subdifferential multi-composition rule, Appl. Set-Valued Anal. Optim. 7 (2025), 125-142.