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

Year 2017, Volume: 46 Issue: 3, 373 - 388, 01.06.2017

Faik Gursoy Abdul Rahim Khan Hafiz Fukhar-ud-din

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 (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

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