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Article

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
Mathematics 2017, 5(2), 19; https://doi.org/10.3390/math5020019
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)
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
MDPI and ACS Style

Kamran, T.; Samreen, M.; UL Ain, Q. A Generalization of b-Metric Space and Some Fixed Point Theorems. Mathematics 2017, 5, 19. https://doi.org/10.3390/math5020019

AMA Style

Kamran T, Samreen M, UL Ain Q. A Generalization of b-Metric Space and Some Fixed Point Theorems. Mathematics. 2017; 5(2):19. https://doi.org/10.3390/math5020019

Chicago/Turabian Style

Kamran, Tayyab; Samreen, Maria; UL Ain, Qurat. 2017. "A Generalization of b-Metric Space and Some Fixed Point Theorems" Mathematics 5, no. 2: 19. https://doi.org/10.3390/math5020019

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