Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized (F, alpha, rho, theta)-d-V-univex functions
In this paper, we introduce a new class of generalized (F, alpha, rho, theta)-d-V-univex functions for a nonsmooth multiobjective programming problem. Sufficient optimality conditions under generalized (F, alpha, rho, theta)-d-V-univex functions are established for a feasible solution to be an efficient solution. Appropriate duality theorems for a Mond-Weir-type dual are also presented under the aforesaid assumptions. (C) 2010 Elsevier Ltd. All rights reserved.
duality multiobjective programming generalized (f, alpha, rho, theta)-d-v-univex functions sufficient optimality conditions efficiency