OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING INVOLVING RIGHT UPPER-DINI-DERIVATIVE FUNCTIONS

In this paper, we introduce rho-generalized pseudo and rho-genera-lized quasi with the tool right upper-Dini-derivative and illustrated these by non-trivial examples. Necessary and sufficient optimality conditions are obtained for a nonlinear multiobjective fractional programming problem involving some classes of generalized convexities with the tool-right upper-Diniderivative. Furthermore, usual duality theorems are proved for a general dual problem using the concept of generalized convex functions. Our results generalize and extend the several results appeared in the literature.