%0 Journal Article
%T Generalized preinvex functions and their properties
%A Muhammad Aslam Noor
%A Khalida Inayat Noor
%J International Journal of Stochastic Analysis
%D 2006
%I Hindawi Publishing Corporation
%R 10.1155/jamsa/2006/12736
%X We introduce some new classes of preinvex and invex functions, which are called ϕ-preinvex and ϕ-invex functions. We study some properties of these classes of ϕ-preinvex (ϕ-invex) functions. In particular, we establish the equivalence among the ϕ-preinvex functions, ϕ-invex functions, and ϕη-monotonicity of their differential under some suitable conditions.
%U http://www.hindawi.com/journals/ijsa/2006/012736/abs/