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Abstract and Applied Analysis 
Volume 2003 (2003), Issue 2, Pages 101-110
doi:10.1155/S1085337503204103

On the problem of retracting balls onto their boundary

Kazimierz Goebel

Instytut Matematyki, Universytet M. Curie–Skłodowskiej (UMCS), Lublin 20-031, Poland

Received 13 November 2001

Abstract

We provide some new estimates of the smallest possible Lipschitz constant for retractions of the unit ball B onto the unit sphere S in infinite-dimensional Banach spaces.