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Fixed points of periodic mappings in Hilbert spaces

Víctor García; Helga Nathansky — 2010

Annales UMCS, Mathematica

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.

Fixed points of periodic mappings in Hilbert spaces

Victor Perez Garcia; Helga Fetter Nathansky — 2010

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

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.

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