Optimality and duality for nondifferentiable multiobjective programming problems involving generalized d-ρ-(η, θ) type-i invex functions

In this paper, a new class of generalized d-ρ-(η, θ) type-I invex functions is introduced and a number of Karush-Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible solution of a nondifferentiable multiobjective programming problem to be efficient/weakly efficient. Moreover, a Mond-Weir type multiobjective dual is considered and duality results are proved under generalized d-ρ-(η, θ) type-I invex functions. The results obtained in this paper generalize and extend the previously known results in the literature.