关于非阿基米德向量空间中的非扩张映射

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-12-14 DOI:10.2478/mjpaa-2021-0013

S. Lazaiz

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引用次数: 0

摘要

摘要在球完备超度量空间中，每个非扩张自映射T都有一个不动点x或一个极小不变球B（x，d（x，T（x））。我们展示了如何在非阿基米德向量空间中近似这个固定中心̄x。并对非阿基米德局部域中的增映射进行了综合研究。

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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A look at nonexpansive mappings in non-Archimedean vector spaces

Abstract In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space. And, we give a synthetic study for increasing mapping in non-Archimedean local fields.

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks