Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces

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作者：
Jingxin Zhang
Yunan Cui
机构：
[1] Harbin Institute of Technology,Department of Mathematics
[2] Harbin University of Science and Technology,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
Asymptotically nonexpansive type; Fixed points Δ-convergence; Uniformly convex ; -hyperbolic spaces; CAT(0) spaces;
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摘要：
Uniformly convex W-hyperbolic spaces with monotone modulus of uniform convexity are a natural generalization of both uniformly convexnormed spaces and CAT(0) spaces. In this article, we discuss the existence of fixed points and demiclosed principle for mappings of asymptotically non-expansive type in uniformly convex W-hyperbolic spaces with monotone modulus of uniform convexity. We also obtain a Δ-convergence theorem of Krasnoselski-Mann iteration for continuous mappings of asymptotically nonexpansive type in CAT(0) spaces.
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