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Allahyari, R., Arab, R., Haghighi A.S., “A generalization on weak contractions in partially ordered b-metric spaces and its application to quadratic integral equations”, Journal of Inequalities and Applications, 2014 (355), 2014.

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Article

On Fixed Points for Chatterjea’s Maps in b-Metric Spaces

1Department of Mathematics and Physics, University of Food Technologies, Plovdiv, Bulgaria

2Faculty of Mathematics and Informatics, Plovdiv University “Paisii Hilendarski”, Plovdiv, Bulgaria


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 2, 31-34
DOI: 10.12691/tjant-4-2-1
Copyright © 2016 Science and Education Publishing

Cite this paper:
Radka Koleva, Boyan Zlatanov. On Fixed Points for Chatterjea’s Maps in b-Metric Spaces. Turkish Journal of Analysis and Number Theory. 2016; 4(2):31-34. doi: 10.12691/tjant-4-2-1.

Correspondence to: Radka  Koleva, Department of Mathematics and Physics, University of Food Technologies, Plovdiv, Bulgaria. Email: r.p.koleva@gmail.com

Abstract

In this paper we find sufficient conditions for the existence and uniqueness of fixed points of Chatterjea’s maps in b-metric space. These conditions do not involve the b-metric constant. We establish a priori error estimate for the sequence of successive iterations. The error estimate, which we present is better that the well-known one for a wide class of Chatterjea’s maps in metric spaces.

Keywords