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 and Research, Vadlamudi, Andhra Pradesh 522213 India.
BMC Res Notes. 2020 Nov 17;13(1):537. doi: 10.1186/s13104-020-05354-1.
The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized [Formula: see text]-contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results.
The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized [Formula: see text]-contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.
本文旨在建立偏序 b-度量空间中广义 [Formula: see text]-收缩映象的一些不动点、重合点、耦合重合点和耦合公共不动点定理。我们的结果推广、扩展和统一了现有文献中大多数基本度量不动点定理。通过几个例子来说明我们的结果。
证明了满足广义 [Formula: see text]-收缩条件的两个映象在完备偏序 b-度量空间中存在唯一的不动点和重合点、耦合重合点和耦合公共不动点定理。这些结果推广了现有文献中的几个可比结果。
