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 Some results of the new iterative scheme in hyperbolic space Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 1009-1024 https://doi.org/10.4134/CKMS.c170031Published online October 31, 2017 Met\.{i}n Ba\c{s}arir, Aynur \c{S}ah\.{i}n Sakarya University, Sakarya University Abstract : In this paper, we consider the new faster iterative scheme due to Sintunavarat and Pitea (\cite{SP}) for further investigation and we prove its strong and $\bigtriangleup$ -convergence theorems, data dependence and stability results in hyperbolic space. Our results extend, improve and generalize several recent results in CAT(0) space and uniformly convex Banach space. Keywords : hyperbolic space, fixed point, iterative scheme, strong convergence, $\Delta$-convergence, stability, data dependence MSC numbers : Primary 47H09, 47H10, 49M05 Downloads: Full-text PDF