Fixed points of periodic mappings in Hilbert spaces
Victor Perez Garcia; Helga Fetter Nathansky
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2010)
- Volume: 54, Issue: 2
- ISSN: 0365-1029
Access Full Article
top
Abstract
topHow to cite
topVictor Perez Garcia, and Helga Fetter Nathansky. "Fixed points of periodic mappings in Hilbert spaces." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 54.2 (2010): null. <http://eudml.org/doc/289823>.
@article{VictorPerezGarcia2010,
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 = {Victor Perez Garcia, Helga Fetter Nathansky},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Fixed point; retractions; periodic mappings},
language = {eng},
number = {2},
pages = {null},
title = {Fixed points of periodic mappings in Hilbert spaces},
url = {http://eudml.org/doc/289823},
volume = {54},
year = {2010},
}
TY - JOUR
AU - Victor Perez Garcia
AU - Helga Fetter Nathansky
TI - Fixed points of periodic mappings in Hilbert spaces
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2010
VL - 54
IS - 2
SP - null
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
UR - http://eudml.org/doc/289823
ER -
References
top- Goebel, K., Kirk, W. A., Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990.
- Goebel, K., Złotkiewicz, E., Some fixed point theorems in Banach spaces, Colloq. Math. 23 (1971), 103-106.
- Górnicki, J., Pupka, K., Fixed points of rotative mappings in Banach spaces, J. Nonlinear Convex Anal. 6(2) (2005), 217-233.
- 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.
- Koter-Mórgowska, M., Rotative mappings in Hilbert space, J. Nonlinear Convex Anal. 1(3) (2000), 295-304.
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.