<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In a spherically complete ultrametric space every nonexpansive self-mapping <italic>T</italic> has a fixed point ̄x or a minimal invariant ball <italic>B</italic>(̄x, <italic>d</italic>(̄x, <italic>T</italic>(̄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.</p></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.

A look at nonexpansive mappings in non-Archimedean vector spaces

LaSMA Laboratory, Department of Mathematics, Faculty of Sciences Dhar El Mahraz

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A look at nonexpansive mappings in non-Archimedean vector spaces"}

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...

A look at nonexpansive mappings in non-Archimedean vector spaces

Published Online: Dec 14, 2020

Page range: 173 - 181

Received: May 13, 2020

Accepted: Nov 25, 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0013

Keywords
Fixed centers, Increasing mappings, Nonexpansive mappings, Pseudo-order, Ultrametric spaces

© 2020 Samih Lazaiz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A look at nonexpansive mappings in non-Archimedean vector spaces

Published Online: Dec 14, 2020

Page range: 173 - 181

Received: May 13, 2020

Accepted: Nov 25, 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0013

KeywordsFixed centers, Increasing mappings, Nonexpansive mappings, Pseudo-order, Ultrametric spaces

© 2020 Samih Lazaiz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fixed centers, Increasing mappings, Nonexpansive mappings, Pseudo-order, Ultrametric spaces