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Generalisations of the Contraction Mapping Theorem : A study on the Generalised Banach Contraction Conjecture - Christopher Melsa
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Christopher Melsa:

Generalisations of the Contraction Mapping Theorem : A study on the Generalised Banach Contraction Conjecture - Pasta blanda

2011, ISBN: 3843384797

[EAN: 9783843384797], Nouveau livre, [SC: 9.99], [PU: LAP LAMBERT Academic Publishing], nach der Bestellung gedruckt Neuware -Various (putative) generalisations of the Contraction Mapping… Más…

NEW BOOK. Gastos de envío: EUR 9.99 AHA-BUCH GmbH, Einbeck, Germany [51283250] [Note: 5 (sur 5)]
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Christopher Melsa:

Generalisations of the Contraction Mapping Theorem - Pasta blanda

ISBN: 9783843384797

Various (putative) generalisations of the Contraction Mapping Theorem in metric space theory in the literature are considered. In particular, generalisations due to Kannan and Suzuki are … Más…

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Melsa, Christopher:
Generalisations of the Contraction Mapping Theorem: A study on the Generalised Banach Contraction Conjecture - Pasta blanda

2011

ISBN: 9783843384797

LAP LAMBERT Academic Publishing, Taschenbuch, 120 Seiten, Publiziert: 2011-01-18T00:00:01Z, Produktgruppe: Buch, 0.42 kg, Mathematik, Naturwissenschaften & Technik, Kategorien, Bücher, Ta… Más…

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Christopher Melsa:
Generalisations of the Contraction Mapping Theorem - Pasta blanda

2011, ISBN: 3843384797

[EAN: 9783843384797], Nouveau livre, [SC: 3.43], [PU: LAP Lambert Academic Publishing], PRINT ON DEMAND Book; New; Fast Shipping from the UK., Books

NEW BOOK. Gastos de envío: EUR 3.43 Ria Christie Collections, Uxbridge, United Kingdom [59718070] [Note: 5 (sur 5)]
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Generalisations of the Contraction Mapping Theorem A study on the Generalised Banach Contraction Conjecture - Melsa, Christopher
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Melsa, Christopher:
Generalisations of the Contraction Mapping Theorem A study on the Generalised Banach Contraction Conjecture - libro nuevo

2011, ISBN: 3843384797

Kartoniert / Broschiert, Protège-cahier 11, [PU:LAP LAMBERT Academic Publishing]

Gastos de envío:Sans frais d'envoi en Allemagne. (EUR 0.00) MARZIES.de Buch- und Medienhandel, 14621 Schönwalde-Glien

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Detalles del libro
Generalisations of the Contraction Mapping Theorem: A study on the Generalised Banach Contraction Conjecture

Various (putative) generalisations of the Contraction Mapping Theorem in metric space theory in the literature are considered. In particular, generalisations due to Kannan and Suzuki are studied, as is a result of Merryfield, Rothschild and Stein with interesting links to Ramsey theory. The main subsequent business is a question of Stein about when there is a finite family of maps of the metric space, at least one of which contracts any particular pair of points: does some composition of members of the family have to have a unique fixed point? The answer is shown to be 'yes' in the special case of two commuting continuous maps of the metric space, but to be 'no' in general, by the counterexample of Austin based on combinatorics on words. Thus in complete generality the Generalised Banach Contraction Conjecture is proven false. Relevant background on metric spaces is also developed.

Detalles del libro - Generalisations of the Contraction Mapping Theorem: A study on the Generalised Banach Contraction Conjecture


EAN (ISBN-13): 9783843384797
ISBN (ISBN-10): 3843384797
Tapa dura
Tapa blanda
Año de publicación: 2011
Editorial: LAP LAMBERT Academic Publishing

Libro en la base de datos desde 2007-08-29T19:46:41-05:00 (Mexico City)
Página de detalles modificada por última vez el 2023-07-01T20:35:59-06:00 (Mexico City)
ISBN/EAN: 3843384797

ISBN - escritura alterna:
3-8433-8479-7, 978-3-8433-8479-7


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