Journal of Applied Mathematics & Bioinformatics

On Nondifferentiable Nonlinear Programming

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  • Abstract

    In this paper, we obtain optimality conditions for a class of nondifferentiable nonlinear programming problems with equality and inequality constraints in which the objective contains the square root of a positive semidefinite quadratic function and is ,therefore, not differentiable. Using Karush-Kuhn-Tucker optimality, Mond-Weir dual to this problem is constructed and various duality results are validated under suitable generalized invexity hypotheses. A mixed type dual to the problem is also formulated and duality results are similarly derived.