A fixed point theorem in hyperconvex spaces
type: Item
instance of: scholarly article
title: A fixed point theorem in hyperconvex spaces
zbMATH Open document ID: 0979.47041
author: Dariusz Bugajewski
author: Ewa Grzelaczyk
published in: Archiv der Mathematik
publication date: 2001-01-25T00:00:00Z
review text: The authors prove an essential extension of Darbo-Sadovski's fixed point theorem in hyperconvex spaces. Their proof is based on the construction of a compact set, isometric to the hyperconvex hull of its own image via a continuous function and using the results of \textit{R. Espinola-Garcia} [Suppl. Rend. Circ. Mat. Palermo, II. Ser. 40, 129-137 (1996; Zbl 0883.47064)].
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1556593
zbMATH Keywords: Darbo-Sadovski's fixed point theorem
zbMATH Keywords: hyperconvex spaces
zbMATH Keywords: hyperconvex hull
MaRDI profile type: Publication
full work available at URL: s000130050521
OpenAlex ID: W2011512584
DOI: 10.1007/S000130050521
description: scientific article; zbMATH DE number 1556593