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

	Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''
Article 1, Volume 2, Issue 1, Spring 2017, Page 1-8 PDF (329 K)
Document Type: Original Scientific Paper
DOI: 10.22052/mir.2017.34117
Authors
Zoran Kadelburg ¹; Stojan Radenovic²; Muhammad Sarwar³
¹University of Belgrade Faculty of Mathematics
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.
Keywords
Vector-valued metric; ordered $b$-metric space; coupled fixed point; integral equation; well-posed fixed point problem
Main Subjects
Applicable Analysis


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