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Extended Rectangular b-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings

1
Department of Mathematics, Statistics and Physics, Qatar University, Doha, P.O. Box 2713, Qatar
2
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, P.O. Box 0834, Iran
3
Faculty of Mathematics, University of Belgrade, Beograd, P.O. Box 11000, Serbia
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(4), 594; https://doi.org/10.3390/sym11040594
Received: 31 March 2019 / Revised: 18 April 2019 / Accepted: 19 April 2019 / Published: 24 April 2019
(This article belongs to the Special Issue Symmetric and non-symmetric contractions in various abstract spaces)
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PDF [332 KB, uploaded 25 April 2019]

Abstract

In this paper, we introduce the class of extended rectangular b-metric spaces as a generalization of both rectangular metric and rectangular b-metric spaces. In addition, some fixed point results connected with certain contractions are obtained and examples are given to illustrate these results. View Full-Text
Keywords: fixed point; generalized metric space; rectangular metric space; b-metric space fixed point; generalized metric space; rectangular metric space; b-metric space
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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Mustafa, Z.; Parvaneh, V.; Jaradat, M.M.; Kadelburg, Z. Extended Rectangular b-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings. Symmetry 2019, 11, 594.

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