Necessary optimality conditions for nonsmooth semi-infinite programming problems |
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| Authors: | Nader Kanzi |
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| Affiliation: | 1.Department of Mathematics,Payame noor University (PNU),Yazd,Iran;2.School of Mathematics, Institue for Research in Fundamental Science (IPM),Tehran,Iran |
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| Abstract: | In this paper, for a nonsmooth semi-infinite programming problem where the objective and constraint functions are locally Lipschitz, analogues of the Guignard, Kuhn-Tucker, and Cottle constraint qualifications are given. Pshenichnyi-Levin-Valadire property is introduced, and Karush-Kuhn-Tucker type necessary optimality conditions are derived. |
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