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Mathematics 2017, 5(2), 19; doi:10.3390/math5020019

A Generalization of b-Metric Space and Some Fixed Point Theorems

1
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
2
Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad 44000, Pakistan
*
Author to whom correspondence should be addressed.
Academic Editor: Pasquale Vetro
Received: 17 November 2016 / Revised: 20 March 2017 / Accepted: 20 March 2017 / Published: 23 March 2017
(This article belongs to the Special Issue Fixed Point Theorems and Applications)
View Full-Text   |   Download PDF [231 KB, uploaded 23 March 2017]

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. View Full-Text
Keywords: fixed point; b-metric fixed point; b-metric
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Kamran, T.; Samreen, M.; UL Ain, Q. A Generalization of b-Metric Space and Some Fixed Point Theorems. Mathematics 2017, 5, 19.

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