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On generalised convex multi-objective nonsmooth programming

Published online by Cambridge University Press:  17 February 2009

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Abstract

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We extend the concept of V-pseudo-invexity and V-quasi-invexity of multi-objective programming to the case of nonsmooth multi-objective programming problems. The generalised subgradient Kuhn-Tucker conditions are shown to be sufficient for a weak minimum of a multi-objective programming problem under certain assumptions. Duality results are also obtained.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996