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Commun. Korean Math. Soc. 2016; 31(4): 713-727
Online first article August 25, 2016 Printed October 31, 2016
https://doi.org/10.4134/CKMS.c150146
Copyright © The Korean Mathematical Society.
Two general iteration schemes for multi-valued maps in hyperbolic spaces
Met{\.{I}}n Ba\c{s}ar\i r and Aynur \c{S}ah{\.{I}}n
Sakarya University, Sakarya University
In this paper, we introduce two general iteration schemes with bounded error terms and prove some theorems related to the strong and $\triangle $ -convergence of these iteration schemes for multi-valued maps in a hyperbolic space. The results which are presented here extend and improve some well-known results in the current literature.
Keywords: hyperbolic space, common fixed point, multi-valued map, general iteration scheme, strong convergence, $\Delta $-convergence
MSC numbers: Primary 47H04, 47H09, 47H10
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