On generalised convex multi-objective nonsmooth programming

Author:

Mishra S. K.,Mukherjee R. N.

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference4 articles.

1. On sufficiency of the Kuhn-Tucker conditions in nondifferentiable programming

2. On generalised convex mathematical programming

3. [2] Egudo R. R. and Hanson M. A. , “On sufficiency of Kuhn-Tucker conditions in nonsmooth multi-objective programming”, FSU Technical Report M-888, (1993).

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