Theorems of Denjoy-Wolff type

DOI10.1007/s10231-011-0240-zzbMath1273.32004OpenAlexW2050988865MaRDI QIDQ361925

Simeon Reich, Tadeusz Kuczumow, Budzyńska, Monika

Publication date: 20 August 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-011-0240-z

zbMATH Keywords

fixed pointKobayashi distanceholomorphic retractDenjoy-Wolff theoremiterates of holomorphic mappings

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Holomorphic functions of several complex variables (32A10) Holomorphic maps in nonlinear functional analysis (46T25)

Related Items

On the Karlsson–Nussbaum conjecture for resolvents of nonexpansive mappings ⋮ Denjoy-Wolff theory for finite-dimensional bounded symmetric domains ⋮ A Wolff theorem for finite rank bounded symmetric domains ⋮ Characterizing the metric compactification of \(L_p\) spaces by random measures ⋮ Theorems of Wolff–Denjoy type for semigroups of nonexpansive mappings in geodesic spaces ⋮ Unbounded visibility domains, the end compactification, and applications ⋮ Denjoy-Wolff points on the bidisk via models ⋮ Wolff-Denjoy theorems in nonsmooth convex domains ⋮ Wolff–Denjoy theorems in geodesic spaces ⋮ A Denjoy-Wolff theorem for compact holomorphic mappings in reflexive Banach spaces ⋮ Denjoy-Wolff theorems for Hilbert's and Thompson's metric spaces

Cites Work

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