Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''

Document Type : Original Scientific Paper

Authors

1 University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia

2 University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11000 Beograd, Serbia

3 Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa, Pakistan, 18800

Abstract

In this paper, we improve some recent coupled fixed point results for single-valued operators in the framework of ordered b-metric spaces established by Bota et al. [M-F. Bota, A. Petrusel, G. Petrusel and B. Samet, Coupled fixed point theorems for single-valued operators in b-metric spaces, Fixed Point Theory Appl. (2015) 2015:231]. Also, we prove that Perov-type fixed point theorem in ordered generalized $b$-metric spaces is equivalent with Ran-Reurings-type theorem in ordered b-metric spaces.

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References

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Mathematics Interdisciplinary Research
Volume 2, Issue 1
June 2017
Pages 1-8

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