Penot’s Compactness Property in Ultrametric Spaces with an Application-Reference-Cited by-同舟云学术

Penot’s Compactness Property in Ultrametric Spaces with an Application

Published:2021-04-17 Issue: Volume:2021 Page:1-6
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Bachar Mostafa¹^ORCID,Bounkhel Messaoud¹^ORCID,Lazaiz Samih²^ORCID

Affiliation:

1. Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia

2. Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, Morocco

Abstract

In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures. The spherical completeness property misled some mathematicians to it to hyperconvexity in metric spaces. As an application, we discuss some fixed point results in spherically complete ultrametric spaces.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5542843.pdf

Reference21 articles.

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5. Fixed point theorem without convexity;J. P. Penot;Mémoires de la Société Mathématique de France,1979

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