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

Generalisations of the Contraction Mapping Theorem - neues Buch

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 - neues Buch

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 - Taschenbuch

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
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Christopher Melsa:
Generalisations of the Contraction Mapping Theorem - neues Buch

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.

Neues Buch Buch.ch
Nr. 27337885 Versandkosten:Bei 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
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(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Generalisations of the Contraction Mapping Theorem - Christopher Melsa
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Christopher Melsa:
Generalisations of the Contraction Mapping Theorem - neues Buch

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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No. 27337885 Versandkosten:, Versandfertig in 2 - 3 Tagen, DE (EUR 0.00)
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Generalisations of the Contraction Mapping Theorem
Autor:

Melsa, Christopher

Titel:

Generalisations of the Contraction Mapping Theorem

ISBN-Nummer:

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.

Detailangaben zum Buch - Generalisations of the Contraction Mapping Theorem


EAN (ISBN-13): 9783843384797
ISBN (ISBN-10): 3843384797
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2011
Herausgeber: AV Akademikerverlag GmbH & Co. KG.

Buch in der Datenbank seit 30.08.2007 02:46:41
Buch zuletzt gefunden am 21.09.2016 15:59:01
ISBN/EAN: 9783843384797

ISBN - alternative Schreibweisen:
3-8433-8479-7, 978-3-8433-8479-7

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