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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 - Paperback

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… More...

NEW BOOK. Shipping costs: EUR 9.99 AHA-BUCH GmbH, Einbeck, Germany [51283250] [Note: 5 (sur 5)]
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Generalisations of the Contraction Mapping Theorem - Christopher Melsa
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Christopher Melsa:

Generalisations of the Contraction Mapping Theorem - Paperback

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 … More...

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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 - Paperback

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… More...

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Christopher Melsa:
Generalisations of the Contraction Mapping Theorem - Paperback

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. Shipping costs: 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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Generalisations of the Contraction Mapping Theorem A study on the Generalised Banach Contraction Conjecture - new book

2011, ISBN: 3843384797

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

Shipping costs:Sans frais d'envoi en Allemagne. (EUR 0.00) MARZIES.de Buch- und Medienhandel, 14621 Schönwalde-Glien
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Generalisations of the Contraction Mapping Theorem: A study on the Generalised Banach Contraction Conjecture
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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 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.

Details of the book - Generalisations of the Contraction Mapping Theorem: A study on the Generalised Banach Contraction Conjecture


EAN (ISBN-13): 9783843384797
ISBN (ISBN-10): 3843384797
Hardcover
Paperback
Publishing year: 2011
Publisher: LAP LAMBERT Academic Publishing

Book in our database since 2007-08-30T01:46:41+01:00 (London)
Detail page last modified on 2023-07-02T03:35:59+01:00 (London)
ISBN/EAN: 9783843384797

ISBN - alternate spelling:
3-8433-8479-7, 978-3-8433-8479-7

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