ON GENERALIZED PREINVEX FUNCTIONS AND MONOTONICITIES

In this paper we consider some classes of α-preinvex andα-invex functions. We study some properties of these classes of α-preinvex (α-invex) functions. In particular, we establish the equivalence among the α-preinvex functions, α-invex functions andαη-monotonicity of their differential under some suitable conditions.