Common fixed points of commuting holomorphic mappings

DOI10.2996/kmj/1138039106zbMath0692.47040OpenAlexW1999342162MaRDI QIDQ583589

Tadeusz Kuczumow, Adam Stachura

Publication date: 1989

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039106

zbMATH Keywords

common fixed point

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20)

Related Items

The existence and non-existence of common fixed points for commuting families of holomorphic mappings, Iterates of holomorphic and \(k_ D\)-nonexpansive mappings in convex domains in \({\mathbb{C}}^ n\)

Cites Work

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• Points fixes d'applications holomorphes dans un produit fini de boules- unités d'espaces de Hilbert
• The fixed point set and the iterational limits of a holomorphic self-map
• Isometers in the Cartesian product of n unit open Hilbert balls with hyperbolic metric
• Holomorphic retracts in complex n-space
• Common fixed points of commuting holomorphic maps of the hyperball
• Holomorphic idempotents and common fixed points on the 2-disk
• On conditions under which isometries have bounded orbits
• Common fixed points of commuting holomorphic mappings in Hilbert ball and polydisc
• Points Fixes D'Applications Holomorphes Dans Un Domaine Borne Convexe De C n
• Shorter Notes: Holomorphic Retracts of Polyballs
• Nonexpansive retracts and fixed points of nonexpansive mappings in the Cartesian product of n Hilbert balls
• Iterates of Holomorphic Self-Maps of the Unit Ball in Hilbert Space
• Fixed Points of Holomorphic Mappings in the Cartesian Product of n Unit Hilbert Balls
• Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball
• Iterating Analytic Self-Maps of Discs
• On Fixed Points of Commuting Analytic Functions
• Commuting Functions with No Common Fixed Point
• On Common Fixed Points of Commuting Continuous Functions on an Interval
• The structure of topological semigroups