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

Tayyab Kamran, Maria Samreen and Qurat UL Ain
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Tayyab Kamran: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Maria Samreen: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Qurat UL Ain: Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

Mathematics, 2017, vol. 5, issue 2, 1-7

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.

Keywords: fixed point; b -metric (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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