On Nonsmooth Multiobjective Semi-Infinite Programming Problems with Mixed Constraints

Authors

  • Hamed Soroush Payame Noor University

Abstract

Abstract. We consider the multiobjective semi-infinite programming problems with feasible sets defined by equality and inequality constraints‎, ‎in which the objective and the constraints functions are locally Lipschitz‎. ‎First‎, ‎we introduce an Arrow-Hurwitcz-Uzawa type constraint qualification which is based on the Clarke subdifferential‎. ‎Then‎, ‎we derive the strong Karush-Kuhn-Tucker type necessary optimality condition for properly efficient solutions of the considered problems‎.

Author Biography

Hamed Soroush, Payame Noor University

Department of Mathematics, Payame Noor University

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Published

2022-12-05

Issue

Vol. 17

Section

Vol. 17, No. 1, (2023)

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