Abstract
In this paper, we are concerned with a nonsmooth multiobjective optimization problem with inequality constraints. We introduce a second-order constraint qualification, which is a generalization of the Abadie constraint qualification and derive second-order Kuhn-Tucker type necessary conditions for efficiency under the constraint qualification. Moreover, we give some conditions which ensure the constraint qualification holds.
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Maeda, T. Second-Order Conditions for Efficiency in Nonsmooth Multiobjective Optimization Problems. Journal of Optimization Theory and Applications 122, 521–538 (2004). https://doi.org/10.1023/B:JOTA.0000042594.46637.b4
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DOI: https://doi.org/10.1023/B:JOTA.0000042594.46637.b4