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A look at nonexpansive mappings in non-Archimedean vector spaces

Samih Lazaiz

Samih Lazaiz

LaSMA Laboratory, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben AbdellahFes, Morocco
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Lazaiz, Samih
  
Dec 14, 2020
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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
© 2020 Samih Lazaiz, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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