Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, Ethiopia.
Department of Mathematics, Vignan's Foundation for Science, Technology & Research, Vadlamudi, 522213, Andhra Pradesh, India.
BMC Res Notes. 2021 Jul 8;14(1):263. doi: 10.1186/s13104-021-05649-x.
We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized [Formula: see text]-weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings.
In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions.
利用广义 [公式：见正文]-弱压缩，在有序 b-度量空间中探讨不动点的存在性和映射的唯一性。此外，在相同的收缩条件下，对两个映射的重合点和耦合重合点提出了一些结果。这些发现概括和扩展了文献中的一些最新研究。最后，我们提供了一些例子来支持我们的发现。
在部分有序 b-度量空间中，讨论了如何获得映射的不动点及其唯一性，并研究了满足广义弱压缩条件的两个映射的重合点和耦合重合点的存在性。
