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

Author(s):

Zoran Kadelburg * , Stojan Radenovic , Muhammad Sarwar

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we improve some recent coupled fixed point resultsfor single-valued operators in the framework of ordered $b$-metricspaces established by Bota et al. [M-F. Bota, A. Petrusel, G.Petrusel and B. Samet, Coupled fixed point theorems forsingle-valued operators in b-metric spaces, Fixed Point TheoryAppl. (2015) 2015:231]. Also, we prove that Perov-type fixed pointtheorem in ordered generalized $b$-metric spaces is equivalentwith 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

Language:
English
Published:
Mathematics Interdisciplinary Research, Volume:2 Issue: 1, Spring 2017
Pages:
1 to 8
https://www.magiran.com/p2120101