Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball

DOI10.1016/j.na.2008.04.023zbMath1166.47050OpenAlexW2089254704MaRDI QIDQ1009634

Simeon Reich, Eva Matoušková

Publication date: 2 April 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.2008.04.023

zbMATH Keywords

resolventnonexpansive mappingHilbert spacecommon fixed pointhyperbolic metricstrongly nonexpansive mappingfirmly nonexpansive mappingcoaccretive operatorsink point

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear functional analysis (46T99)

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Cites Work

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• Hyperbolic monotonicity in the Hilbert ball
• Asymptotic behavior of semigroups of \(p\)-non-expansive and holomorphic mappings on the Hilbert Ball
• Nonexpansive iterations in hyperbolic spaces
• 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
• Coaccretive operators and firmly nonexpansive mappings in the Hilbert ball
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces

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