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http://dx.doi.org/10.4134/CKMS.2015.30.3.209

STRONG AND Δ-CONVERGENCE OF A FASTER ITERATION PROCESS IN HYPERBOLIC SPACE  

AKBULUT, SEZGIN (Department of Mathematics Faculty of Science Ataturk University)
GUNDUZ, BIROL (Department of Mathematics Faculty of Science and Art Erzincan University)
Publication Information
Communications of the Korean Mathematical Society / v.30, no.3, 2015 , pp. 209-219 More about this Journal
Abstract
In this article, we first give metric version of an iteration scheme of Agarwal et al. [1] and approximate fixed points of two finite families of nonexpansive mappings in hyperbolic spaces through this iteration scheme which is independent of but faster than Mann and Ishikawa scheme. Also we consider case of three finite families of nonexpansive mappings. But, we need an extra condition to get convergence. Our convergence theorems generalize and refine many know results in the current literature.
Keywords
hyperbolic space; nonexpansive map; common fixed point; iterative process; condition (A); semi-compactness; ${\Delta}$-convergence;
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