%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 %X We introduce some new classes of preinvex and invex functions, which are called -preinvex and -invex functions. We study some properties of these classes of -preinvex ( -invex) functions. In particular, we establish the equivalence among the -preinvex functions, -invex functions, and ¦Ç -monotonicity of their differential under some suitable conditions. %U http://www.hindawi.com/GetArticle.aspx?doi=10.1155/JAMSA/2006/12736