We give a lower bound for the minimal displacement characteristic in the space l ∞.
@article{bwmeta1.element.doi-10_2478_s11533-012-0105-8,
author = {Krzysztof Bolibok},
title = {The minimal displacement problem in the space l $\infty$},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {2211-2214},
zbl = {06137116},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0105-8}
}
Krzysztof Bolibok. The minimal displacement problem in the space l ∞. Open Mathematics, Tome 10 (2012) pp. 2211-2214. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0105-8/
[1] Bolibok K., Minimal Displacement and Retraction Problem for Balls in Banach Spaces, PhD thesis, Uniwersytet Marii Curie-Skłodowskiej, Lublin, 1999 (in Polish)
[2] Goebel K., On the minimal displacement of points under lipschitzian mappings, Pacific J. Math., 1973, 45, 151–163 | Zbl 0265.47046
[3] Goebel K., Kirk W.A., Topics in Metric Fixed Point Theory, Cambridge Stud. Adv. Math, 28, Cambridge University Press, Cambridge, 1990 http://dx.doi.org/10.1017/CBO9780511526152[Crossref] | Zbl 0708.47031
[4] Piasecki Ł., Retracting a ball onto a sphere in some Banach spaces, Nonlinear Anal., 2011, 74(2), 396–399 http://dx.doi.org/10.1016/j.na.2010.08.050[Crossref][WoS]