Iterates of holomorphic and \(k_ D\)-nonexpansive mappings in convex domains in \({\mathbb{C}}^ n\)

DOI10.1016/0001-8708(90)90005-8zbMath0726.32016OpenAlexW2030398056MaRDI QIDQ802807

Tadeusz Kuczumow, Adam Stachura

Publication date: 1990

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90005-8

zbMATH Keywords

fixed pointsholomorphic mapping\(k_ D\)-nonexpansive mappingconvex domains in \({\mathbb{C}}^ n\)

Mathematics Subject Classification ID

Special families of functions of several complex variables (32A17) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Holomorphic functions of several complex variables (32A10)

Related Items (15)

Holomorphic retracts in \(B_H^{\infty}\) ⋮ Theorems of Denjoy-Wolff type ⋮ The Denjoy-Wolff theorem in \(\mathbb C^n\) ⋮ Wolff-Denjoy theorems in nonsmooth convex domains ⋮ Homeomorphic extension of quasi-isometries for convex domains in \(\mathbb{C}^d\) and iteration theory ⋮ INTERSECTIONS OF HOLOMORPHIC RETRACTS IN BANACH 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 ⋮ A Denjoy-Wolff theorem for compact holomorphic mappings in reflexive Banach spaces ⋮ Unnamed Item ⋮ The Denjoy-Wolff theorem in the open unit ball of a strictly convex Banach space ⋮ Common Fixed Points in Hyperbolic Riemann Surfaces and Convex Domains ⋮ The existence and non-existence of common fixed points for commuting families of holomorphic mappings ⋮ The Denjoy-Wolff theorem for condensing holomorphic mappings ⋮ Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of \(B _{H} ^{n}\)

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