Approximating fixed points of holomorphic mappings in the Hilbert ball

DOI10.1016/j.na.2008.09.001zbMath1176.58004OpenAlexW1985485649MaRDI QIDQ1015120

Simeon Reich, Marina Levenshtein

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.09.001

zbMATH Keywords

fixed pointiterative schemeretractionhyperbolic metricholomorphic mappingfirmly nonexpansive mappingHilbert ballapproximating curvesink point

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Invariant metrics and pseudodistances in several complex variables (32F45) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point theorems on manifolds (58C30) Numerical solutions to equations with nonlinear operators (65J15) Holomorphic maps in nonlinear functional analysis (46T25)

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Cites Work

• A Julia-Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball
• Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball
• Semigroups and generators on convex domains with the hyperbolic metric
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• Hyperbolic monotonicity in the Hilbert ball
• Coaccretive operators and firmly nonexpansive mappings in the Hilbert ball
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