锥度量空间中3个自映射的公共不动点定理

On Common Fixed Point Theorems for Three Self-mappings in Cone Metric Spaces

在锥度量空间中引进了一类广义压缩条件,证明了在完备的锥度量空间中3个自映射叠合点的存在唯一性,最后给出了该叠合点是3个自映射公共不动点的条件.

In this paper,a new generalized contractive condition has been introduced in cone metric space.The existence and uniqueness of point of coincidence for three self-mappings have been proved in complete cone metric space.Finally,it obtains a condition that the point of coincidence is the common fixed point for the three self-mappings.These results extend some of the most general common fixed point theorems for two mappings in cone metric spaces.