Infinitesimal generators of evolution families of nonexpansive mappings

DOI10.1007/S00574-016-0206-2zbMath1371.30050OpenAlexW4237522951MaRDI QIDQ2012226

Raúl Felipe, Luis Benítez-Babilonia

Publication date: 28 July 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0206-2

zbMATH Keywords

infinitesimal generatorone-parameter semigroupPoincaré metric

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Dynamics induced by flows and semiflows (37C10) Function theory on the disc (30J99)

Related Items (1)

The product formula and evolution families of nonexpansive mappings

Cites Work

• Loewner chains in the unit disk
• Semigroups and generators on convex domains with the hyperbolic metric
• Generation theory for semigroups of holomorphic mappings in Banach spaces
• Parametric representations of semi-complete vector fields on the unit balls in \(\mathbb{C}^ n\) and in Hilbert space.
• The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
• Hyperbolic monotonicity in the Hilbert ball
• Evolution families and the Loewner equation I: the unit disc
• Nonexpansive iterations in hyperbolic spaces
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Metric domains, holomorphic mappings and nonlinear semigroups
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