eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2016-05-19 4 2 31 34 10.12691/tjant-4-2-1 TJANT2016421 article Radka Koleva r.p.koleva@gmail.com 1 Boyan Zlatanov 2 Department of Mathematics and Physics, University of Food Technologies, Plovdiv, Bulgaria Faculty of Mathematics and Informatics, Plovdiv University 'Paisii Hilendarski', Plovdiv, Bulgaria 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. http://pubs.sciepub.com/tjant/4/2/1/tjant-4-2-1.pdf fixed point Chatterjea's map b-Metric space a priori error estimate