Iterated nonexpansive mappings

被引：8

作者：

Dominguez Benavides, Tomas ^{[1
]}

Llorens-Fuster, Enrique ^{[2
]}

机构：

[1] Univ Seville, Dept Math Anal, C Tarfia S-N, E-41012 Seville, Spain

[2] Univ Valencia, Dept Math Anal, Dr Moliner 50, E-46100 Valencia, Spain

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 03期

关键词：

Fixed point; nonexpansive mapping; normal structure; FIXED-POINT PROPERTY; CONVERGENCE THEOREMS;

D O I：

10.1007/s11784-018-0579-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a further study of iterated nonexpansive mappings, that is, mappings which are nonexpansive along the orbits. This is a wide class of nonlinear mappings including many generalized nonexpansive mappings, such as Suzuki (C)-type generalized nonexpansive mappings and, among others, mappings satisfying the so-called condition (B). In some cases, as for Suzuki (C)-type generalized nonexpansive mappings, the existence of a fixed point is known in the setting of Banach spaces with normal structure. We prove that the same is true for many other classes of iterated nonexpansive mappings.

引用

页数：18

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