On some fixed point results in b -metric, rectangular and b -rectangular metric spaces

摘要

In this paper we consider, discuss, improve and generalize recent fixed point results for mappings in b -metric, rectangular metric and b -rectangular metric spaces established by ?uki? et?al. (2011), George and Rajagopalan (2013) and Roshan et?al. (2015). Also, we prove a Geraghty type theorem in the setting of b -metric spaces as well as a Boyd–Wong type theorem in the framework of b -rectangular metric spaces, in both cases, without using Hausdorff assumption. One example is given to support the results.