
Minimax Theory and its Applications 07 (2022), No. 1, 131158 Copyright Heldermann Verlag 2022 Sequential Pareto Subdifferential MultiComposition Rule and Application to Multiobjective Minimax Location Problems Issam Dali Dept. of Mathematics, Faculty of Sciences, ElJadida, Morocco dali.issam@gmail.com Mohamed Laghdir Dept. of Mathematics, Faculty of Sciences, ElJadida, Morocco laghdirm@gmail.com Mohamed B. Moustaid Dept. of Mathematics, Faculty of Sciences, ElJadida, Morocco bilalmoh39@gmail.com In the absence of any qualification condition, we provide a sequential formula for the weak/proper Pareto subdifferential of multicomposed convex vector mappings. For illustrating this formula, we propose deriving sequential optimality conditions characterizing weakly/properly efficient solutions of multiobjective minimax location problems with infimal distances. We present an example of multiobjective bilevel programming problems with an extremal value function, where the standard Lagrange multipliers conditions can not be derived due to the lack of constraint qualification and the sequential conditions hold. Keywords: Sequential Pareto subdifferential, multicomposed vector mappings, sequential weak efficiency, sequential proper efficiency, multiobjective minimax location problems, multiobjective bilevel programming problems. MSC: 49K35, 90C25, 90C29, 90C47, 90C48. [ Fulltextpdf (203 KB)] for subscribers only. 