Fixed points of periodic mappings in Hilbert spaces
Victor Perez Garcia ; Helga Fetter Nathansky
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010), / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:289823
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     author = {Victor Perez Garcia and Helga Fetter Nathansky},
     title = {Fixed points of periodic mappings in Hilbert spaces},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {54},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_2_37-48}
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Victor Perez Garcia; Helga Fetter Nathansky. Fixed points of periodic mappings in Hilbert spaces. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 54 (2010) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2010_54_2_37-48/

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.