Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces
نویسندگان
چکیده
*Correspondence: [email protected] Faculty of Mathematics and Informatics, University of Plovdiv, Plovdiv, 4000, Bulgaria Abstract In this paper, we establish a full statement of Ćirić’s fixed point theorem in the setting of cone metric spaces. More exactly, we obtain a priori and a posteriori error estimates for approximating fixed points of quasi-contractions in a cone metric space. Our result complements recent results of Zhang (Comput. Math. Appl. 62:1627-1633, 2011), Ding et al. (J. Comput. Anal. Appl. 15:463-470, 2013) and others. MSC: Primary 54H25; secondary 47H10; 46A19
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