Seshagiri Rao Namana, Kalyani Karusala, Mitiku Belay
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, Andhra Pradesh, 522213, India.
BMC Res Notes. 2020 Sep 22;13(1):451. doi: 10.1186/s13104-020-05273-1.
In this paper we present some fixed point theorems for self mappings satisfying generalized [Formula: see text]-weak contraction condition in partially ordered complete b-metric spaces. The results presented over here generalize and extend some existing results in the literature. Finally, we illustrate two examples to support our results.
We obtained a unique fixed point of a self mapping satisfying certain contraction condition which is involving an auxiliary function. Also, the results are presented for the existence of a common fixed point and a coincidence point for generalized [Formula: see text]-weak contraction mappings in partially ordered complete b-metric space.
在本文中，我们给出了在部分有序完备b - 度量空间中满足广义[公式：见原文] - 弱收缩条件的自映射的一些不动点定理。这里给出的结果推广并扩展了文献中的一些现有结果。最后，我们给出两个例子来支持我们的结果。
我们得到了一个满足特定收缩条件的自映射的唯一不动点，该条件涉及一个辅助函数。此外，还给出了部分有序完备b - 度量空间中广义[公式：见原文] - 弱收缩映射的公共不动点和重合点存在性的结果。
