TITLE:
Nondifferentiable Multiobjective Programming with Equality and Inequality Constraints
AUTHORS:
Iqbal Husain, Vikas K. Jain
KEYWORDS:
Nondifferentiable Multiobjective Programming Problem; Efficient Solution; Generalized Invexity; Duality; Nondifferentiable Multiobjective Programming Problems with Equality and Inequality
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.1 No.2,
April
30,
2013
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.