Abstract
We consider for Zamfirescu operators in hyperbolic metric spaces the swiftness of convergence of Mann and Ishikawa iterations. We show that whilst the Mann iteration converge as swift as the Ishikawa iteration as control sequences satisfy some conditions, we also observe that the swiftness of convergence of Mann iteration varies depending on the control sequences. Throughout this paper we denote Mann iteration-MI, Ishikawa iteration-II, Hyperbolic space-XH and Zamfirescu operator TZ
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