Kadelburg, Z., Radenovic, S., Sarwar, M. (2017). Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''. Mathematics Interdisciplinary Research, 2(1), 1-8. doi: 10.22052/mir.2017.34117
Zoran Kadelburg; Stojan Radenovic; Muhammad Sarwar. "Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''". Mathematics Interdisciplinary Research, 2, 1, 2017, 1-8. doi: 10.22052/mir.2017.34117
Kadelburg, Z., Radenovic, S., Sarwar, M. (2017). 'Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''', Mathematics Interdisciplinary Research, 2(1), pp. 1-8. doi: 10.22052/mir.2017.34117
Kadelburg, Z., Radenovic, S., Sarwar, M. Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''. Mathematics Interdisciplinary Research, 2017; 2(1): 1-8. doi: 10.22052/mir.2017.34117
Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''
2University of Belgrade Faculty of Mechanical Engineering
3Department of Mathematics, University of Malakand
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.