摘要

In this paper, we focus on a nonsmooth minimax fractional programming problem with exponential (p, r)-invexity. We establish a nonparametric necessary and sufficient optimality conditions. The nonparametric necessary and sufficient optimality conditions deduce to two parameter-free type dual models: Mond-Weir type dual and Wolfe type dual problems. On these duality types, we establish the duality theorems under exponential (p, r)-invexities including weak duality, strong duality, and strict converse duality theorems. Consequently, such duality types are no duality gap with respect to the primary problem in the framwork.