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A look at nonexpansive mappings in non-Archimedean vector spaces

Moroccan Journal of Pure and Applied Analysis

Volume 7 (2021): Issue 1 (January 2021)

By: Samih Lazaiz

Open Access

|Dec 2020

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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Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2021-0013 | Journal eISSN: 2351-8227

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Language: English

Page range: 173 - 181

Submitted on: May 13, 2020

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Accepted on: Nov 25, 2020

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Published on: Dec 14, 2020

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Increasing mappings,

Nonexpansive mappings,

Ultrametric spaces

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2020 Samih Lazaiz, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 7 (2021): Issue 1 (January 2021)

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