Nonexpansive Retractions in Hyperconvex Spaces

✍ Scribed by R Espı́nola; W.A Kirk; G López

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 114 KB
• Volume: 251
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7030

✦ Synopsis

This paper is primarily concerned with the study of conditions on a hyperconvex subset D of a hyperconvex metric space M which assure that there exists a nonexpansive retraction R of M\D onto D which has the property that R M\D ⊂ ∂D A related question we take up is, when is such a retraction R proximinal, that is, when does R have the property