Fixed Point Theorems In Cone Metric Space And N-D* Metric Space

In this paper, we research on the fixed point theories under some certain contractivecondition in cone metric space. Moreover, some definitions and properties inn D*metricspace are given in this paper, we also prove some fixed point theorems.In the first chapter, we mainly introduced the notion and some basic properties of conemetric space. Also, we show some available obtain fixed point theorems by other scholars. Onthis basis, we prove some fixed point theorems under some certain contractive condition incone metric space, the main content is as follows:In the second chapter, we show the definition of D metric space andD * metricspace. What’s more, we describe some fixed point theorems by other scholars.In the third chapter, we give the definition ofn D*,n D*Cauchy Sequence . And weprove some fixed point theorems inn D*metric sap ce Ds:S and T be self maps of a complete boundedn*metric space. If the pairThen, S and T have a unique fixed point u in X .On this basis, we prove some corollaries.The last chapter, we study some knowledge about non-Archimedean normed space andsome fixed point theorems.