Second-Order Conditions for Efficiency in Nonsmooth Multiobjective Optimization Problems

T. Maeda
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T. Maeda: Kanazawa University

Journal of Optimization Theory and Applications, 2004, vol. 122, issue 3, No 5, 538 pages

Abstract: 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; C 1+ functions; second-order directional derivatives; second-order tangent sets; second-order constraint qualifications (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (6)

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DOI: 10.1023/B:JOTA.0000042594.46637.b4

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