A characterization of the family of iterated nonexpansive mappings under every renorming

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2024-03-19 DOI:10.12775/tmna.2024.006

Víctor Pérez-García, F. E. Castillo-Santos

引用次数: 0

Abstract

We characterize the family of iterated nonexpansive mappings that are stable under every renorming. The family of iterated nonexpansive mappings contains the family of nonexpansive mappings, it also contains quasi-nonexpansive and Suzuki's (C)-type mappings with fixed points, among others. We also give the corresponding characterizations for quasi-nonexpansive and some Suzuki's (C)-type mappings with fixed points.

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迭代非展开映射族在每次重规范下的特征描述

我们描述了在每次重规范下都稳定的迭代非展开映射族的特征。迭代非膨胀映射族包含非膨胀映射族，还包含准非膨胀映射和具有定点的铃木（C）型映射等。我们还给出了准无穷映射和一些有定点的铃木（C）型映射的相应特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.