Sequential Pareto Subdifferential Sum Rule for Convex Set-Valued Mappings and Applications

Mohamed Laghdir () and El Mahjoub. Echchaabaoui ()
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Mohamed Laghdir: Faculty of Sciences
El Mahjoub. Echchaabaoui: Faculty of Sciences

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 3, No 13, 1226-1245

Abstract: Abstract The aim of this paper is to provide a general description of the Pareto subdifferential (weak and proper) of the sum of two cone-convex set-valued mappings in terms of sequences without any constraint qualifications. As an application, we derive sequential Lagrange multipliers optimality conditions for general set-valued optimization problem in terms of sequential Lagrange multipliers at nearby points for the Pareto efficient solutions, where no constraint qualification is assumed.

Keywords: Set-valued convex mappings; Pareto subdifferential; Pareto efficiency; Set optimization; 90C25; 90C29; 90C46; 90C48 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02255-8

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