ON NONSMOOTH (Φ, ρ)-INVEX MULTIOBJECTIVE PROGRAMMING IN FINITE-DIMENSIONAL EUCLIDEAN SPACES

In this paper, a nonconvex nonsmooth multiobjective programming problem with both inequality and equality constraints is considered. Under nondifferentiable (Φ, ρ)-invexity notion, optimality conditions and duality results in the sense of Mond- Weir are established for such nonsmooth vector optimization problems. It turns out that the results developed here under (Φ, ρ)-invexity are applicable for a larger class of multiobjective programming problems than under generalized convexity notions existing in the literature.