Optimality condition and duality in multi objective programming with generalized (φ,ρ)-univexity

In this paper, we extend the classes of generalized type I vector valued functions introduced by Aghezzaf and Hachimi[1] to generalized univex type I vector-valued functions and consider a multiobjective optimization problem involving generalized type I function with (φ,r ) -univexity. A number of Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient solution. The Mond-Weir and general Mond-Weir type duality results are also presented. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5427 KUSET 2011; 7(1): 105-112