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

Generalisations of the Contraction Mapping Theorem - nouveau livre

ISBN: 9783843384797

ID: c4043a57ca687e731130801ab869e8f8

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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-8433-8479-7, LAP Lambert Academic Publishing

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

Generalisations of the Contraction Mapping Theorem - nouveau livre

ISBN: 9783843384797

ID: 143327766

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. A study on the Generalised Banach Contraction Conjecture Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, LAP Lambert Academic Publishing

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Generalisations of the Contraction Mapping Theorem - Christopher Melsa
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Christopher Melsa:
Generalisations of the Contraction Mapping Theorem - Livres de poche

2011

ISBN: 3843384797

ID: 10409406333

[EAN: 9783843384797], Neubuch, [PU: Lap Lambert Acad. Publ. Jan 2011], This item is printed on demand - Print on Demand Titel. - 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. 120 pp. Englisch

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Generalisations of the Contraction Mapping Theorem - Christopher Melsa
Livre non disponible
(*)
Christopher Melsa:
Generalisations of the Contraction Mapping Theorem - nouveau livre

ISBN: 9783843384797

ID: c4043a57ca687e731130801ab869e8f8

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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-8433-8479-7, LAP Lambert Acad. Publ.

Nouveaux livres Buch.ch
Nr. 27337885 Frais d'envoiBei Bestellungen innerhalb der Schweiz berechnen wir Fr. 3.50 Portokosten, Bestellungen ab EUR Fr. 75.00 sind frei. Die voraussichtliche Versanddauer liegt bei 1 bis 2 Werktagen., Versandfertig innert 3 - 5 Werktagen, zzgl. Versandkosten, Livraison non-comprise
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(*) Livre non disponible signifie que le livre est actuellement pas disponible à l'une des plates-formes associées nous recherche.
Generalisations of the Contraction Mapping Theorem - Christopher Melsa
Livre non disponible
(*)
Christopher Melsa:
Generalisations of the Contraction Mapping Theorem - nouveau livre

ISBN: 9783843384797

ID: 158347603

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. A study on the Generalised Banach Contraction Conjecture Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, LAP Lambert Acad. Publ.

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Détails sur le livre
Generalisations of the Contraction Mapping Theorem
Auteur:

Melsa, Christopher

Titre:

Generalisations of the Contraction Mapping Theorem

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.

Informations détaillées sur le livre - Generalisations of the Contraction Mapping Theorem


EAN (ISBN-13): 9783843384797
ISBN (ISBN-10): 3843384797
Version reliée
Livre de poche
Date de parution: 2011
Editeur: AV Akademikerverlag GmbH & Co. KG.

Livre dans la base de données depuis 30.08.2007 02:46:41
Livre trouvé récemment le 21.09.2016 15:59:01
ISBN/EAN: 9783843384797

ISBN - Autres types d'écriture:
3-8433-8479-7, 978-3-8433-8479-7

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