Optimality of Multi-Objective Programming Involving $(G-V,\rho)$ - Invexity

In this paper, we define new vector generalized convex functions for a given locally Lipschitz functions, namely nondifferentiable
$(G-\mathrm{V}, \rho)$
-invex functions, quasi invex function, and pseudo -invex function. The sufficiency of Karush - Kuhn- Tucker optimality conditions is proved under assumption that the functions constituting the multi -objective programming problem are
$(G-\mathrm{V}, \rho)$
-invex functions.