Fixed Point Theorems In Cone B-metric Spaces

In this paper,some classic fixed point theorems are generalized by using the iterative method,thus we get some fixed point theories of contractive mapping and expanding mapping in cone b-metric spaces.The results are as follows:1.we relate the concept of generalized c-distance and its properties in per-fect cone b-metric space.The existence of fixed point of continuous contractive mapping is studied,and we give the concrete application;The fixed point the-orems of discontinuous contractive mapping under the normal cone are proved by means of constructing iterative sequence.2.In generalizced c-distance,the fixed point theorems of continuous expand-ing mapping are studied;Then,the existence of fixed point of discontinuous expanding mapping is studied on the basis of the normality of cone and the continuity of the norm,and we get relevant inferences by simplifying expanding coefficient.3.In cone b-metric space,the existence and uniqueness of the coincidence point and common fixed point of two expaunding mappings arc studied;when the space(X,d)is perfeet,the existence and uniqueness of common fixed point of two expanding mappings which are single or full are proved.