Iterated nonexpansive mappings in Hilbert spaces

被引：1

作者：

Piatek, Bozena ^{[1
]}

机构：

[1] Silesian Tech Univ, Dept Math, Gliwice, Poland

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 04期

关键词：

Hilbert space; generalized nonexpansive mapping; asymptotically regular mapping;

D O I：

10.1007/s11784-021-00898-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [T. Dominguez Benavides and E. Llorens-Fuster, Iterated nonexpansive mappings, J. Fixed Point Theory Appl. 20 (2018), no. 3, Paper No. 104, 18 pp.], the authors raised the question about the existence of a fixed point free continuous INEA mapping T defined on a closed convex and bounded subset (or on a weakly compact convex subset) of a Banach space with normal structure. Our main goal is to give the affirmative answer to this problem in the very special case of a Hilbert space.

引用

页数：14

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