Compositions of contractions

DOI10.1016/0377-0427(90)90428-3zbMath0713.30005OpenAlexW2092685644MaRDI QIDQ749697

Lisa Lorentzen

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90428-3

zbMATH Keywords

fixed point theoremscontinued fractionsiterationsanalytic self-mappings

Mathematics Subject Classification ID

General properties of functions of one complex variable (30A99) Convergence and divergence of continued fractions (40A15) Series expansions of functions of one complex variable (30B99)

Related Items (18)

Generalized iteration ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ A convergence question inspired by Stieltjes and by value sets in continued fraction theory ⋮ A note on forward iteration of inner functions ⋮ Modeling and Control of Malaria Dynamics in Fish Farming Regions ⋮ Explicit examples in ergodic optimization ⋮ Consensus and Information Cascades in Game-Theoretic Imitation Dynamics with Static and Dynamic Network Topologies ⋮ Biholomorphic Cryptosystems ⋮ Random holomorphic iterations and degenerate subdomains of the unit disk ⋮ Semi-groups of analytic functions that contain the identity map ⋮ Stability of the Denjoy-Wolff theorem ⋮ Repeated compositions of Möbius transformations ⋮ Boundary points as limit functions of iterated holomorphic function systems ⋮ Random iterations of holomorphic contractions in locally convex spaces and of weaker contractions in uniform spaces ⋮ Repeated compositions of analytic maps ⋮ Semi-groups of analytic maps ⋮ Continued fractions, discrete groups and complex dynamics ⋮ Random iterations of holomorphic maps in complex Banach spaces

Cites Work

• Compositions of analytic functions of the form \(F_ n(z)=F_{n-1}(f_ n(z))\), \(f_ n(z)\to f(z)\)
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