Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity

Abstract

We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential B-p,r-invex functions with respect to η and b. We introduce a new concept of nonconvex functions, called exponential B-p,r-invex functions. Base on the generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient solution. Furthermore, employing optimality conditions to perform Mond-Weir type duality model and prove the duality theorems including weak duality, strong duality, and strict converse duality theorem under exponential B-p,r-invexity assumptions. Consequently, the optimal values of the primal problem and the Mond-Weir type duality problem have no duality gap under the framework of exponential B-p,r-invexity.