The Relative Property Of Cone Metric Spaces And The Quertion Of Fixed Foint Theorem

As a new space framework, cone metric spaces have aroused the scholars’attention since it came into being.This paper investigates the properties and construction of the cone metric spaces,and compares with the relative results of the metric spaces, discusses the bounds ofset. This paper gets some new fixed point theorem on the basis of previous studies.The whole paper is divided into three chapters:Chapter1is an introduction and some preliminaries. The first part introducesconcisely the main contents of this paper and some relative background. Introducingsome basic results and relative lemma which will be used in this paper in the secondpart.Chapter2gives the conception of cone metric spaces and some basic properties.Contrast to metric space, discussing the properties and the instruction of cone metricspaces in this paper, and describing the question of the boundedness of set on conemetric spaces.Chapter3shows some existed results about fixed point theorem on cone metricspaces. On this base, we obtain some new fixed point theorem on cone metric spaces.