Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 4 2 2016 5 19 On Fixed Points for Chatterjea's Maps in b-Metric Spaces 31 34 EN Radka Koleva Department of Mathematics and Physics, University of Food Technologies, Plovdiv, Bulgaria Boyan Zlatanov TJANT2016421 10.12691/tjant-4-2-1 2015 11 24 2016 4 8 2016 5 17 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.