The product formula and evolution families of nonexpansive mappings

DOI10.1007/s00574-018-0118-4OpenAlexW2893013913MaRDI QIDQ2326940

Raúl Felipe, Luis Benítez-Babilonia, Nancy López

Publication date: 10 October 2019

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/s00574-018-0118-4

zbMATH Keywords

evolution familiesproduct formulanonlinear resolvent\(\rho\)-monotone vector fields

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Dynamics induced by flows and semiflows (37C10) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Analysis on metric spaces (30L99) Function theory on the disc (30J99)

Related Items (1)

Kirk type iteration process and convex feasibility problem in CAT(0) space

Cites Work

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• Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds
• Semigroups of linear operators and applications to partial differential equations
• Manifolds, tensor analysis, and applications.
• Semigroups and generators on convex domains with the hyperbolic metric
• Generation theory for semigroups of holomorphic mappings in Banach spaces
• Infinitesimal generators of evolution families of nonexpansive mappings
• Evolution families and the Loewner equation I: the unit disc
• Nonexpansive iterations in hyperbolic spaces
• Metric domains, holomorphic mappings and nonlinear semigroups

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