A Denjoy-Wolff theorem for compact holomorphic mappings in complex Banach spaces

DOI10.5186/AASFM.2013.3846zbMath1305.46065OpenAlexW2318011812MaRDI QIDQ2860895

Budzyńska, Monika, Tadeusz Kuczumow, Simeon Reich

Publication date: 11 November 2013

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2013.3846

zbMATH Keywords

fixed pointKobayashi distanceBanach spacecompact mappinghorosphereholomorphic mappingDenjoy-Wolff theoremiterates of holomorphic mappingsstrictly convex domain\(k_D\)-nonexpansive mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Holomorphic maps in nonlinear functional analysis (46T25)

Related Items (5)

Denjoy-Wolff theory for finite-dimensional bounded symmetric domains ⋮ Horoballs and iteration of holomorphic maps on bounded symmetric domains ⋮ A Wolff theorem for finite rank bounded symmetric domains ⋮ Wolff–Denjoy theorems in geodesic spaces ⋮ Denjoy-Wolff theorems for Hilbert's and Thompson's metric spaces

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