Kuhn-Tucker Type Necessary Optimality Conditions for a Class of Nonsmooth Minimax Fractional Programming

Abstract:

      In this paper, we consider a class of nonsmooth minimax fractional programming problems with nonlinear inequality constraints, where the numerator in the objective function is in the form of sum of differentiable function and convex function while the denominator is in the form of difference of a differentiable function and a convex function, and the constrained functions are differentiable. The Kuhn-Tucker type necessary optimality conditions for such class of problems are developed under the Arrow-Hurwicz-Uzawa constraint qualification. The results obtained in this paper improve and generalize some existing results in the literature.