%0 Journal Article %T On Properties of Geodesic -Preinvex Functions %A I. Ahmad %A Akhlad Iqbal %A Shahid Ali %J Advances in Operations Research %D 2009 %I Hindawi Publishing Corporation %R 10.1155/2009/381831 %X The present paper deals with the properties of geodesic -preinvex functions and their relationships with -invex functions and strictly geodesic -preinvex functions. The geodesic -pre-pseudo-invex and geodesic -pre-quasi-invex functions on the geodesic invex set are introduced and some of their properties are discussed. %U http://www.hindawi.com/journals/aor/2009/381831/