Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions

RaviP Agarwal, I Ahmad, Z Husain, A Jayswal
2010 Journal of Inequalities and Applications  
A new class of generalized V-type I invex functions is introduced for nonsmooth multiobjective programming problem. Based upon these generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution. Weak, strong, and strict converse duality theorems are proved for Mond-Weir type dual program in order to relate the weakly efficient solutions of primal and dual programs.
doi:10.1155/2010/898626 fatcat:tswvgmueybhefdey7fz6dho4ee