OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE GENERALIZED FRACTIONAL PROGRAMMING WITH GENERALIZED CONVEXITY

In this paper, we are concerned with a nondifferentiable multiobjective generalized fractional programming problem. We present the Kuhn-Tucker type necessary condition for a weakly efficient solution, under the assumption of a kind of generalized Abadie Constraint Qualification. And then the Kuhn-Tucker type sufficient condition for weakly efficient solution is given under the assumption of (C, alpha, rho, d)-convexity. Subsequently, we apply the optimality conditions to formulate a kind of duality model and prove some duality theorems.