The Sufficiency of Solution for Multi-objective Semi-infinite Programming

In this paper, new classes of generalized invex functions called (h, φ) - ρ invex functions, (h, φ) - ρ quasi invex functions and (h, φ) - ρ pseudo invex functions are introduced, multi-objective semi-infinite programming involving new generalized functions is researched, the sufficient optimality conditions are obtained under weaker convexity.