Open Access
2017 A New Class of Contraction in b-Metric Spaces and Applications
Preeti Kaushik, Sanjay Kumar, Kenan Tas
Abstr. Appl. Anal. 2017: 1-10 (2017). DOI: 10.1155/2017/9718535


A novel class of α-β-contraction for a pair of mappings is introduced in the setting of b-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation.


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Preeti Kaushik. Sanjay Kumar. Kenan Tas. "A New Class of Contraction in b-Metric Spaces and Applications." Abstr. Appl. Anal. 2017 1 - 10, 2017.


Received: 7 March 2017; Revised: 27 April 2017; Accepted: 8 May 2017; Published: 2017
First available in Project Euclid: 19 July 2017

zbMATH: 06929572
MathSciNet: MR3666251
Digital Object Identifier: 10.1155/2017/9718535

Rights: Copyright © 2017 Hindawi

Vol.2017 • 2017
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