Optimality and duality for nonsmooth multiobjective fractional programming problems involving exponential VV-rr-invexity

This paper is to study a subdifferentiable multiobjective fractional programming problem under exponential VV-rr-invexity. We establish sufficient optimality conditions for multiobjective fractional programming problems involving exponential VV-rr-invex Lipschitz functions. By optimality conditions, the parametric dual model is formulated. Consequently, the duality theorems are proved so that the optimal values of the duality problems are equal to the primary problem under the framework of exponential VV-rr-invexity for the Lipschitz function.