Article citationsMore>>

X. M. Yang, K. L. Teo and X. Q. Yang, “Duality for a Class of Nondifferentiable Multiobjective Programming Problem,” Journal of Mathematical Analysis and Applications, Vol. 252, No. 2, 2000, pp. 999-1005. doi:10.1006/jmaa.2000.6991

has been cited by the following article:

• 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.