*b*-Metric Space and Some Fixed Point Theorems

Received: 17 November 2016 / Revised: 20 March 2017 / Accepted: 20 March 2017 / Published: 23 March 2017

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**Abstract**

In this paper, inspired by the concept of

*b*-metric space, we introduce the concept of extended*b*-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our results extend/generalize many pre-existing results in literature. Full article
(This article belongs to the Special Issue Fixed Point Theorems and Applications)