The minimal displacement problem in the space l ∞

Krzysztof Bolibok

Open Mathematics (2012)

  • Volume: 10, Issue: 6, page 2211-2214
  • ISSN: 2391-5455

Abstract

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We give a lower bound for the minimal displacement characteristic in the space l ∞.

How to cite

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Krzysztof Bolibok. "The minimal displacement problem in the space l ∞." Open Mathematics 10.6 (2012): 2211-2214. <http://eudml.org/doc/269175>.

@article{KrzysztofBolibok2012,
abstract = {We give a lower bound for the minimal displacement characteristic in the space l ∞.},
author = {Krzysztof Bolibok},
journal = {Open Mathematics},
keywords = {Minimal displacement; minimal displacement},
language = {eng},
number = {6},
pages = {2211-2214},
title = {The minimal displacement problem in the space l ∞},
url = {http://eudml.org/doc/269175},
volume = {10},
year = {2012},
}

TY - JOUR
AU - Krzysztof Bolibok
TI - The minimal displacement problem in the space l ∞
JO - Open Mathematics
PY - 2012
VL - 10
IS - 6
SP - 2211
EP - 2214
AB - We give a lower bound for the minimal displacement characteristic in the space l ∞.
LA - eng
KW - Minimal displacement; minimal displacement
UR - http://eudml.org/doc/269175
ER -

References

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  1. [1] Bolibok K., Minimal Displacement and Retraction Problem for Balls in Banach Spaces, PhD thesis, Uniwersytet Marii Curie-Skłodowskiej, Lublin, 1999 (in Polish) 
  2. [2] Goebel K., On the minimal displacement of points under lipschitzian mappings, Pacific J. Math., 1973, 45, 151–163 Zbl0265.47046
  3. [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] Zbl0708.47031
  4. [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] 

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