Some New Fixed point theorems for asymptotically nonexpansive
type mappings in CAT(k) spaces
R. Keshavarz\,^1 and H. Azadi Kenary\,^2
\,^{1,2}Department of Mathematics,Yasouj University, Yasouj 75914-353, Iran
Pages 11-27 | Received 25 April 2024, Accepted 01 September 2024, Published 10 July 2025
Abstract
In this paper we prove a convergence theorem of the Mann iteration scheme for a asymptotically nonexpansive type mappings in CAT(k) spaces with k>0. We also obtain a convergence theorem of the Ishikawa iteration scheme for asymptotically nonexpansive mappings.
Keywords: Mann and Ishikawa iteration; strong convergence; CAT(k) space; common fixed point; R-convex space.
MSC numbers: 39B05; 39B22; 46B22; 20K30.
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