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Second-Order Conditions for Efficiency in Nonsmooth Multiobjective Optimization Problems |
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| Authors: | Maeda T. |
| Affiliation: | (1) Faculty of Economics, Kanazawa University, Kanazawa, Japan |
| 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. |
| Keywords: | Multiobjective minimization problems efficient solutions C1+ functions second-order directional derivatives second-order tangent sets second-order constraint qualifications |
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