%0 Journal Article
%T Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative
%A Izhar Ahmad
%J Applied Mathematics
%P 452-460
%@ 2152-7393
%D 2011
%I Scientific Research Publishing
%R 10.4236/am.2011.24057
%X In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficient under the generalised dI-univexity requirements. Moreover, weak, strong and strict converse duality theorems are also derived for Mond-Weir type dual programs.
%K Multiobjective Programming
%K Nondifferentiable Programming
%K Generalized dI-Univexity
%K Sufficiency
%K Duality
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=4507