A remark on the minimal displacement problem in spaces uniformly rotund in every direction

Krzysztof Bolibok

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 1, page 85-90
  • ISSN: 0010-2628

Abstract

top
We give an example of uniformly rotund in every direction space for which the minimal displacement characteristic is maximal.

How to cite

top

Bolibok, Krzysztof. "A remark on the minimal displacement problem in spaces uniformly rotund in every direction." Commentationes Mathematicae Universitatis Carolinae 44.1 (2003): 85-90. <http://eudml.org/doc/249198>.

@article{Bolibok2003,
abstract = {We give an example of uniformly rotund in every direction space for which the minimal displacement characteristic is maximal.},
author = {Bolibok, Krzysztof},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lipschitzian mappings; minimal displacement; Lipschitzian mappings; minimal displacement},
language = {eng},
number = {1},
pages = {85-90},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A remark on the minimal displacement problem in spaces uniformly rotund in every direction},
url = {http://eudml.org/doc/249198},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Bolibok, Krzysztof
TI - A remark on the minimal displacement problem in spaces uniformly rotund in every direction
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 1
SP - 85
EP - 90
AB - We give an example of uniformly rotund in every direction space for which the minimal displacement characteristic is maximal.
LA - eng
KW - Lipschitzian mappings; minimal displacement; Lipschitzian mappings; minimal displacement
UR - http://eudml.org/doc/249198
ER -

References

top
  1. Benyamini Y., Sternfeld Y., Spheres in infinite dimensional normed spaces are Lipschitz contractible, Proc. Amer. Math. Soc. 88 (1983), 439-445. (1983) Zbl0518.46010MR0699410
  2. Bolibok K., Constructions of Lipschitzian mappings with non zero minimal displacement in spaces L 1 ( 0 , 1 ) and L 2 ( 0 , 1 ) , Annal. Univ. Marie Curie-Sklodowska L (1996), 25-31. (1996) MR1472574
  3. Bolibok K., Minimal displacement and retraction problems in the space l 1 , Nonlinear Analysis Forum 3 (1998), 13-23. (1998) MR1646488
  4. Bolibok K., Goebel K., A note on minimal displacement and retraction problems, J. Math. Anal. Appl. 206 (1997), 308-314. (1997) Zbl0883.47066MR1429293
  5. Goebel K., On the minimal displacement of points under Lipschitzian mappings, Pacific J. Math. 48 (1973), 151-163. (1973) Zbl0265.47046MR0328708
  6. Goebel K., Kirk W.A., Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990. MR1074005
  7. Lin P.K., Sternfeld Y., Convex sets with the Lipschitz fixed point property are compact Proc. Amer. Math. Soc., 93 (1985), 633-639. (1985) MR0776193
  8. Schauder J., Der Fixpunktsatz in Funkionalraumen, Studia Math. 2 (1930), 171-180. (1930) 
  9. Zizler V., On some rotundity and smoothness properties of Banach spaces, Rozprawy Mat. 87 (1971). (1971) Zbl0231.46036MR0300060

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.