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

By Hui-Sheng Ding, Mohammad Imdad, Stojan Radenovic, Jelena Vujaković. 2016

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

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/66afa5061f38959eb9714686d91e31811d5dcb88