Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces

被引：0
作者：
Eskandar Naraghirad
Ngai-Ching Wong
Jen-Chih Yao
机构：
[1] Yasouj University,Department of Mathematics
[2] National Sun Yat-Sen University,Department of Applied Mathematics
[3] Kaohsiung Medical University,Center of Fundamental Science
[4] King Abdulaziz University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
-nonexpansive mapping; fixed point; Ishihawa iteration algorithm; uniformly convex Banach space; spaces;
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摘要：
An existence theorem for a fixed point of an α-nonexpansive mapping of a nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishikawa iterate algorithms ensure weak and strong convergence to a fixed point of such a mapping. Our theorems are also extended to CAT(0) spaces.
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