On Sufficiency in Multiobjective Programming Involving Generalized (G, C, $\rho$)-type I Functions

Yadvendra Singh, Amod Kumar, B. B. Upadhyay, Vinay Singh

In this paper, a new class of (G, C, $\rho$)-type I functions and their generalizations are introduced. We consider a class of differentiable multiobjective optimization problems and establish sufficient optimality conditions. The results of the paper are more general than those existing in the literature.