Nonsmooth vector-valued invex functions and applications

Various types of locally Lipschitz vector-valued invex (and generalized invex) functions are examined. Then the said classes of nonsmooth invex functions are used in order to formulate sufficient generalized Kuhn-Tucker results for a multiobjective programming problem, both with a conical ordering and in the Paretian case. Weakly efficient, efficient and properly efficient points are obtained.