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

Radka Koleva^1, and Boyan Zlatanov²

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

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

Cite this paper:
Radka Koleva and 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

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:
fixed point Chatterjea’s map b-Metric space a priori error estimate

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