J Austral Math Soc Ser B 38 pp140--148, 1996.

On generalised convex multi-objective nonsmooth programming

S. K. Mishra and R. N. Mukherjee

(Received ; revised )

Abstract

We extend the concept of V-psuedo-invexity of multi-objective programming to the case of nonsmooth multi-objective programming problems. The generalised subgradient Kuhn-Tucher 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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Authors

S. K. Mishra
R. N. Mukherjee
Dept of Applied Math, Inst. of Technology, Banaras Hindu University, Varanasi 221005, India.

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