期刊论文详细信息
Fixexd point theory and applications
Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces
Jingxin Zhang1  Yunan Cui2 
[1] Department of Mathematics, Harbin Institute of Technology, Harbin, China;Department of Mathematics, Harbin University of Science and Technology, Harbin, China
关键词: Asymptotically nonexpansive type;    Fixed points Δ-convergence;    Uniformly convex W-hyperbolic spaces;    CAT(0) spaces;   
DOI  :  10.1186/1687-1812-2011-39
学科分类:数学(综合)
来源: SpringerOpen
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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. MSC: 47H09; 47H10; 54E40.

【 授权许可】

CC BY   

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