References
Y. Benyamini andY. Sternfeld, Spheres in infinite-dimensional normed spaces are Lipschitz contractible. Proc. Amer. Math. Soc.88, 439–445 (1983).
D. van Dulst andB. Sims, Fixed points of nonexpansive mappings and Chebyshev centers in Banach spaces with norms of type (KK). LNM991, 35–43, Berlin-Heidelberg-New York 1983.
C. Franchetti, Lipschitz maps on the unit ball of normed spaces. Rend. Sem. di Matematico dell'Università di Bari202, 1–11 (1985).
M. Furi andM. Martelli, On α-Lipschitz retractions of the unit closed ball onto its boundary. Atti Acc. Naz. Lincei57, 61–65 (1974).
K. Goebel, On the minimal displacement of points under Lipschitzian mappings. Pacific J. Math.45, 151–163 (1973).
R. B.Holmes, A course on Optimization and Best Approximation. LNM257, Berlin-Heidelberg-New York 1972.
W. A.Kirk, Nonexpansive mappings and normal structure in Banach spaces. In Proceedings, Workshop on Geometry of Banach Spaces, University of Iowa, July 1981.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Franchetti, C. Lipschitz maps and the geometry of the unit ball in normed spaces. Arch. Math 46, 76–84 (1986). https://doi.org/10.1007/BF01197144
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01197144