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Completeness and fixed-points

Name: Completeness and fixed-points
Creator: Subrahmanyam, P.V.
Keywords: 510.mathematics, Counterexamples in general topology, Fixed-point and coincidence theorems (topological aspects), Metric spaces, metrizability, Complete metric spaces, 0101 mathematics, 01 natural sciences, Article

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1975 Germany Publisher:Springer Science and Business Media LLCJournal:Monatshefte f�r Mathematik, volume 80, pages 325-330 (issn: 0026-9255, eissn: 1436-5081,

Authors: Subrahmanyam, P.V.;

doi: 10.1007/bf01472580

Completeness and fixed-points

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Abstract

In this note the converses of recent fixed-point theorems due toKannan andChatterjea are obtained. An example is constructed to show that a metric space having the fixed-point property for homeomorphisms need not be metrically topologically complete. An example ofConnell is formulated in a more general perspective.

Country

Germany

Related Organizations

DigiZeitschriften
Germany
Norwegian Institute for Cultural Heritage Research
Norway

Keywords

510.mathematics, Counterexamples in general topology, Fixed-point and coincidence theorems (topological aspects), Metric spaces, metrizability, Complete metric spaces, Article

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	112
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 1%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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