Department of Mathematics, Vignan's Foundation for Science, Technology & Research, Vadlamudi, Andhra Pradesh, 522213, India.
Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, Ethiopia.
BMC Res Notes. 2022 Feb 9;15(1):29. doi: 10.1186/s13104-022-05914-7.
We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature. Some numerical examples are provided for justifying the results obtained.
Some fixed point results are found for a self mapping in a partially ordered b-metric space which satisfies a generalized week contraction condition. Furthermore, these results are extended for two self mappings for obtaining coincidence point, coupled coincidence point and coupled common fixed point in the same context. A few examples are presented to support the findings.
我们探讨了度量空间序集中映射的不动点、重合点和耦合重合点的结果。我们的结果推广和扩展了文献中的知名结果。为了验证所得结果，我们提供了一些数值示例。
在满足广义弱收缩条件的部分有序 b-度量空间中，我们找到了一个自映射的一些不动点结果。此外，我们将这些结果扩展到两个自映射，以在相同的背景下获得重合点、耦合重合点和耦合公共不动点。我们提出了一些例子来支持这些发现。
