Abstract: New classes of functions namely (V, ρ)_h,φ-type I, quasi (V, ρ)h,φ-type I and pseudo (V, ρ)_h,φ-type I functions are defined for multiobjective programming problem by using BenTal’s generalized algebraic operation. The examples of (V, ρ)_h,φ-type I functions are given. The sufficient optimality conditions are obtained for multi-objective programming problem involving above new generalized convexity.

Key words: multiobjective programming, (V, ρ)_h,?-type I functions, Pareto e?cient solution; su?cient optimality conditions