In 2007, L-G, Huang X. Zang, in the article "Cone Metric Spaces and Fixed Point Theorems of Contractive Mapping", gave the concept of a class of spaces, called cone metric spaces, and constructed the base of the theory about the map fixed points in such spaces. And until now, this theory has attracted many researchers, including Mohamad A.Khamsi. In this article, the authors state the generalized results given by this mathematician, as well as give the demonstrations of these generalizations. The authors will see that Theorems 3.1 and 3.2 are exactly their interesting consequences.