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Axioms 2019, 8(1), 34; https://doi.org/10.3390/axioms8010034

Fixed Point Theorems for Geraghty Contraction Type Mappings in b-Metric Spaces and Applications

1
Department of Mathematics, College of Technical and Engineering, Saveh Branch, Islamic Azad University, Saveh 39187/366, Iran
2
Primari School “Kneginja Milica”, Beograd 11073, Serbia
3
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
4
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
*
Author to whom correspondence should be addressed.
Received: 8 February 2019 / Revised: 7 March 2019 / Accepted: 12 March 2019 / Published: 14 March 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
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Abstract

In this paper, some new results are given on fixed and common fixed points of Geraghty type contractive mappings defined in b-complete b-metric spaces. Moreover, two examples are represented to show the compatibility of our results. Some applications for nonlinear integral equations are also given. View Full-Text
Keywords: fixed point; Geraghty; b-metric space fixed point; Geraghty; 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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Faraji, H.; Savić, D.; Radenović, S. Fixed Point Theorems for Geraghty Contraction Type Mappings in b-Metric Spaces and Applications. Axioms 2019, 8, 34.

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