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Mohsine Jennane, El Mostafa Kalmoun, Lahoussine Lafhim, On nonsmooth multiobjective semi-infinite programming with switching constraints

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DOI: 10.23952/jano.5.2023.1.06
Volume 5, Issue 1, 1 April 2023, Pages 93-109

 

Abstract. In this paper, we establish optimality conditions for a nonsmooth multiobjective semi-infinite programming problem subject to switching constraints. In particular, we employ a surrogate problem and a suitable constraint qualification to state necessary M-stationary conditions in terms of Clarke subdifferentials. Moreover, we demonstrate that in different cases these M-stationary conditions becomes sufficient as well. Finally, we also present Weak and strong duality results of Wolfe an Mond-Weir types.

 

How to Cite this Article:
M. Jennane, E.M. Kalmoun, L. Lafhim, On nonsmooth multiobjective semi-infinite programming with switching constraints, J. Appl. Numer. Optim. 5 (2023), 93-109.