The Denjoy-Wolff theorem for condensing holomorphic mappings

DOI10.1006/jfan.1999.3448zbMath0933.46039OpenAlexW2058982655MaRDI QIDQ1305540

Simeon Reich, Tadeusz Kuczumow, Jaroslaw Kapeluszny

Publication date: 4 November 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3448

zbMATH Keywords

Kobayashi distanceDenjoy-Wolff theoremcondensing holomorphic mappingsKuratowski's measure of non-compactness

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (9)

Convergence of iterates of nonexpansive mappings and orbits of nonexpansive semigroups ⋮ Theorems of Denjoy-Wolff type ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ The Denjoy-Wolff theorem in \(\mathbb C^n\) ⋮ Wolff-Denjoy theorems in nonsmooth convex domains ⋮ A Denjoy-Wolff theorem for compact holomorphic mappings in reflexive Banach spaces ⋮ Canonical models for holomorphic iteration ⋮ Denjoy-Wolff theorems for Hilbert's and Thompson's metric spaces ⋮ Fixed points of monotone mappings via generalized-measure of noncompactness

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