Fixed Points of Holomorphic Mappings in the Cartesian Product of n Unit Hilbert Balls

DOI10.4153/CMB-1986-043-6zbMath0627.46056MaRDI QIDQ3763097

Tadeusz Kuczumow, Adam Stachura

Publication date: 1986

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

fixed pointholomorphic mappings in the Cartesian product of n unit Hilbert balls

Mathematics Subject Classification ID

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

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Strong asymptotic normal structure and fixed points in product spaces ⋮ Coaccretive operators and firmly nonexpansive mappings in the Hilbert ball ⋮ Nonexpansive retracts and fixed points of nonexpansive mappings in the Cartesian product of n Hilbert balls ⋮ Isometers in the Cartesian product of n unit open Hilbert balls with hyperbolic metric ⋮ The approximate fixed point property in Banach and hyperbolic spaces ⋮ Results and conjectures in holomorphic fixed point theory ⋮ Minimal Displacement of Points Under Holomorphic Mappings and Fixed Point Properties for Unions of Convex Sets ⋮ Nonexpansive iterations in hyperbolic spaces ⋮ Common fixed points of commuting holomorphic mappings ⋮ Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of \(B _{H} ^{n}\)