Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces

被引：1

作者：

Sipos, Andrei ^{[1
,2
]}

机构：

[1] Univ Bucharest, Dept Comp Sci, Res Ctr Log Optimizat & Secur LOS, Fac Math & Comp Sci, Bucharest, Romania

[2] Romanian Acad, Simion Stoilow Inst Math, Bucharest, Romania

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2021年 / 42卷 / 06期

关键词：

Asymptotically nonexpansive mappings; fixed points; hyperbolic spaces; uniformly convex hyperbolic spaces; THEOREM;

D O I：

10.1080/01630563.2021.1924780

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Kohlenbach and Leustean have shown in 2010 that any asymptotically nonexpansive self-mapping of a bounded nonempty UCW-hyperbolic space has a fixed point. In this paper, we adapt a construction due to Moloney in order to provide a sequence that converges strongly to such a fixed point.

引用

页码：696 / 711

页数：16

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