偏锥b-度量空间中的不动点定理

摘要

在偏锥度量空间的基础上，介绍了偏锥 b-度量空间的相关概念，提出了偏锥 b-度量空间和锥b-度量空间的关系，并给出了一个简单的例子，最后研究了偏锥b-度量空间中在没有正规性的条件下的一些不动点定理，从而推广了巴拿赫压缩原理。%In this paper, we introduce the relevant concepts of partial cone b-metric spaces on the basis of partial cone metric spaces. Then we put forward the relationship between partial cone b-metric spaces and cone b-metric spaces and give a simple example. At last, We study some fixed point theorems in partial cone b-metric spaces over a non-normal solid cone. Our results also generalize Banach contraction principle.