Convergence and data dependence results for quasi-contractive type operators in hyperbolic spaces

Authors : Faik Gursoy, Abdul Rahim Khan, Hafiz Fukhar-ud-din

Pages : 373-388

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Publication Date : 2017-06-01

Article Type : Research Paper

Abstract :In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 insert ignore into journalissuearticles values(1);, 223230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space. It is shown that our results provide better convergence rate.
Keywords : Data dependency, strong convergence, iterative scheme, hyperbolic space, rate of convergence