Necessary optimality conditions for nonsmooth generalized semi-infinite programming problems
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.
Year of publication: |
2010
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Authors: | Kanzi, N. ; Nobakhtian, S. |
Published in: |
European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 205.2010, 2, p. 253-261
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Publisher: |
Elsevier |
Keywords: | Generalized semi-infinite programming Mordukhovich subdifferential Constraint qualification Lagrangian Optimality condition Nonsmooth optimization |
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