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Commun. Korean Math. Soc. 2017; 32(4): 1009-1024
Online first article June 22, 2017 Printed October 31, 2017
https://doi.org/10.4134/CKMS.c170031
Copyright © The Korean Mathematical Society.
Some results of the new iterative scheme in hyperbolic space
Met\.{i}n Ba\c{s}arir, Aynur \c{S}ah\.{i}n
Sakarya University, Sakarya University
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
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