Reaching fixed points as limits in subspaces

DOI10.1007/S00022-016-0313-7zbMath1359.54026OpenAlexW2276322007MaRDI QIDQ506940

Sibylla Priess-Crampe

Publication date: 2 February 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-016-0313-7

zbMATH Keywords

ultrametric spacesapproximation of fixed pointsvalued fields

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10)

Related Items (1)

Subfields of algebraically maximal Kaplansky fields

Cites Work

• The approximation to a fixed point
• Approximation of elements in Henselizations
• The Banach fixed point theorem for ultrametric spaces
• Generalized ultrametric spaces. II
• Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
• Ultrametric dynamics
• Maximal fields with valuations
• Maps on Ultrametric Spaces, Hensel's Lemma, and Differential Equations Over Valued Fields
• Differential equations over valued fields (and more)
• Fixed point and attractor theorems for ultrametric spaces
• Ultrametric spaces and logic programming

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