Global Connecting Dual Representation of Non-Smooth Multi-Objective Programs using Convex Functions

Abstract

New classes of vector functions ,namely V-(𝒃 , 𝑭 , 𝝆 )- pseudo convex and V- (𝒃 , 𝑭 , 𝝆 )- quasi convex functions are introduced which are weaker than V-(𝒃, 𝑭 , 𝝆 )- convex functions. Sufficient optimality conditions for proper potency and numerous duality theorems for a category of nonsmooth multiobjective programs are obtained under the assumptions of the above said functions.