非体锥的锥度量空间中扩张映射的不动点定理

Fixed Point Theorems for Expanding Mapping in Cone Metric Spaces with Nonsolid Cone

在非体锥的锥度量空间中,探究关于扩张映射的不动点定理。在条件上并不要求映射的连续性,从结果上更能够说明不动点的存在性和唯一性,所得结论进一步完善并发展了现有文献中有关锥度量空间中扩张映射的相应的不动点定理。

In our work, several fixed point theorems of expanding mapping in cone metric spaces are established with a nonsolid cone.without considering the continuity for mapping in the conditions. Furthermore, the fixed point is not only existing but also unique in our results.These conclusions develop some meaningful results in cone metric spaces and metric spaces.