Optimality and duality for nonsmooth multiobjective fractional programming problems involving exponential [formula omitted]-[formula omitted]-invexity

Abstract

This paper is to study a subdifferentiable multiobjective fractional programming problem under exponential V-r-invexity. We establish sufficient optimality conditions for multiobjective fractional programming problems involving exponential V-r-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 V-r-invexity for the Lipschitz function.