A look at nonexpansive mappings in non-Archimedean vector spaces

Lazaiz, Samih

doi:10.2478/mjpaa-2021-0013

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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A look at nonexpansive mappings in non-Archimedean vector spaces

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