Fixed points of periodic mappings in Hilbert spaces
Víctor García; Helga Nathansky
Annales UMCS, Mathematica (2010)
- Volume: 64, Issue: 2, page 37-48
- ISSN: 2083-7402
Access Full Article
top
Abstract
topHow to cite
topVíctor García, and Helga Nathansky. "Fixed points of periodic mappings in Hilbert spaces." Annales UMCS, Mathematica 64.2 (2010): 37-48. <http://eudml.org/doc/268162>.
@article{VíctorGarcía2010,
abstract = {In this paper we give new estimates for the Lipschitz constants of n-periodic mappings in Hilbert spaces, in order to assure the existence of fixed points and retractions on the fixed point set.},
author = {Víctor García, Helga Nathansky},
journal = {Annales UMCS, Mathematica},
keywords = {Fixed point; retractions; periodic mappings; fixed point; retraction; periodic mapping},
language = {eng},
number = {2},
pages = {37-48},
title = {Fixed points of periodic mappings in Hilbert spaces},
url = {http://eudml.org/doc/268162},
volume = {64},
year = {2010},
}
TY - JOUR
AU - Víctor García
AU - Helga Nathansky
TI - Fixed points of periodic mappings in Hilbert spaces
JO - Annales UMCS, Mathematica
PY - 2010
VL - 64
IS - 2
SP - 37
EP - 48
AB - In this paper we give new estimates for the Lipschitz constants of n-periodic mappings in Hilbert spaces, in order to assure the existence of fixed points and retractions on the fixed point set.
LA - eng
KW - Fixed point; retractions; periodic mappings; fixed point; retraction; periodic mapping
UR - http://eudml.org/doc/268162
ER -
References
top- Goebel, K., Kirk, W. A., Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990. Zbl0708.47031
- Goebel, K., Złotkiewicz, E., Some fixed point theorems in Banach spaces, Colloq. Math. 23 (1971), 103-106. Zbl0223.47022
- Górnicki, J., Pupka, K., Fixed points of rotative mappings in Banach spaces, J. Nonlinear Convex Anal. 6(2) (2005), 217-233. Zbl1093.47051
- Kaczor, W., Koter-Mórgowska M., Rotative mappings and mappings with constant displacement, Handbook of Metric Fixed Point Theory, Kluwer Academic Publisher, Dordrecht, 2001, 323-337. Zbl1032.47031
- Koter-Mórgowska, M., Rotative mappings in Hilbert space, J. Nonlinear Convex Anal. 1(3) (2000), 295-304. Zbl0980.47045
NotesEmbed ?
topYou 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.