Necessary optimality conditions for nonsmooth generalized semi-infinite programming problems

N. Kanzi and S. Nobakhtian

European Journal of Operational Research, 2010, vol. 205, issue 2, 253-261

Abstract: This paper is devoted to the study of nonsmooth generalized semi-infinite programming problems in which the index set of the inequality constraints depends on the decision vector and all emerging functions are assumed to be locally Lipschitz. We introduce a constraint qualification which is based on the Mordukhovich subdifferential. Then, we derive a Fritz-John type necessary optimality condition. Finally, interrelations between the new and the existing constraint qualifications such as the Mangasarian-Fromovitz, linear independent, and the Slater are investigated.

Keywords: Generalized; semi-infinite; programming; Mordukhovich; subdifferential; Constraint; qualification; Lagrangian; Optimality; condition; Nonsmooth; optimization (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:205:y:2010:i:2:p:253-261

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