Haji Kedir Husen, Tola Kidane Koyas, Mamud Mustefa Abduletif
Department of Mathematics, Jimma University, Jimma, Ethiopia.
BMC Res Notes. 2022 Jul 7;15(1):242. doi: 10.1186/s13104-022-06122-z.
In this paper we introduce fixed point theorems for generalized rational type -admissible contractive mappings in partially ordered b-metric spaces and prove the existence and uniqueness of fixed points for self-mappings satisfying the established theorems. Finally, we provide examples in support of our main findings in the setting of partially ordered b-metric spaces.
New fixed point results have been obtained for generalized rational type -admissible contractive mappings in the setting of partially ordered b-metric space and we applied one of our results to determine a solution to an integral equation.
在本文中，我们介绍了部分有序b - 度量空间中广义有理型 - 容许压缩映射的不动点定理，并证明了满足既定定理的自映射不动点的存在性和唯一性。最后，我们给出例子以支持我们在部分有序b - 度量空间背景下的主要发现。
在部分有序b - 度量空间的背景下，我们获得了广义有理型 - 容许压缩映射的新的不动点结果，并应用我们的一个结果确定了一个积分方程的解。
