Penot's Compactness Property in Ultrametric Spaces with an Application. (19th April 2021)

• Record Type: Journal Article
• Authors: Bachar, Mostafa; Bounkhel, Messaoud; Lazaiz, Samih
• Other Names: Wu Shanhe Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-04-19
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5542843
• Languages: English
• ISSNs: 2314-8896

Abstract

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.