<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

Publié en ligne: 14 déc. 2020

Pages: 173 - 181

Reçu: 13 mai 2020

Accepté: 25 nov. 2020

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

Mots clés
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

Publié en ligne: 14 déc. 2020

Pages: 173 - 181

Reçu: 13 mai 2020

Accepté: 25 nov. 2020

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

Mots clésFixed 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.

Mots clés
Fixed centers, Increasing mappings, Nonexpansive mappings, Pseudo-order, Ultrametric spaces