Nondifferentiable Multiobjective Programming with Equality and Inequality Constraints

DOI: 10.4236/ojmsi.2013.12002   PDF   HTML     4,357 Downloads   7,983 Views   Citations

Abstract

In this paper, we derive optimality conditions for a nondifferentiable multiobjective programming problem containing a certain square root of a quadratic form in each component of the objective function in the presence of equality and inequality constraints. As an application of Karush-Kuhn-Tucker type optimality conditions, a Mond-Weir type dual to this problem is formulated and various duality results are established under generalized invexity assumptions. Finally, a special case is deduced from our result.

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Husain, I. and Jain, V. (2013) Nondifferentiable Multiobjective Programming with Equality and Inequality Constraints. Open Journal of Modelling and Simulation, 1, 7-13. doi: 10.4236/ojmsi.2013.12002.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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