Scalar derivatives and scalar asymptotic derivatives. An Altman type fixed point theorem on convex cones and some applications

An Altman type fixed point theorem, on a convex cone in a Banach space, will be presented. In this theorem we replace the classical Altman’s condition by an asymptotic condition. Also, we will establish some relations between this Altman type fixed point theorem and the scalar derivatives. Some applications will be given.  2003 Elsevier Inc. All rights reserved