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Lagrangian conditions for a nonsmooth vector-valued minimax

Part of: Optimality conditions

Published online by Cambridge University Press:  09 April 2009

B. D. Craven  and
D. V. Luu
B. D. Craven
Affiliation:
Department of Mathematics and Statistics, University of Melbourne, Parkville, VIC 3052, Australia
D. V. Luu
Affiliation:
Institute of Mathematics, P.O. Box 631, Bo Ho 10000 Hanoi, Vietnam
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Abstract

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Lagrangian necessary and sufficient conditions for a nonsmooth vector-valued minimax in terms of Clarke's generalized Jacobians are established under suitable invexity hypotheses.

Keywords

Nonsmooth vector-valued minimaxsmooth approximationlocally invex functionpseudo-Lipschitzian multifunction

MSC classification

Secondary: 90C29: Multi-objective and goal programming 49K35: Minimax problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 65 , Issue 2 , October 1998 , pp. 163 - 175
Copyright
Copyright © Australian Mathematical Society 1998

References

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