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This article is cited in 20 scientific papers (total in 20 papers)
Brief communications
Quasi-Contractions on a Nonnormal Cone Metric Space
L. Gajića, V. Rakočevićb
a University of Novi Sad
b University of Nis, Faculty of Sciences and Mathematics
Abstract:
Ilić and Rakočević [Appl. Math. Lett., 22:5 (2009), 728–731] proved a fixed point theorem for quasi-contractive mappings on cone metric spaces when the underlying cone is normal. Recently, Z. Kadelburg, S. Radenović, and V. Rakočević obtained a similar result without using the normality condition but only for a contractive constant $\lambda\in(0,1/2)$ [Appl. Math. Lett., 22:11 (2009), 1674–1679]. In this note, using a new method of proof, we prove this theorem for any contractive constant $\lambda \in (0,1)$.
Keywords:
fixed point, cone metric space, quasi-contraction
DOI:
https://doi.org/10.4213/faa3057
 Full text:
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English version:
Functional Analysis and Its Applications, 2012, 46:1
Bibliographic databases:
   
UDC:
517.988
Received: 18.04.2010
Citation:
L. Gajić, V. Rakočević, “Quasi-Contractions on a Nonnormal Cone Metric Space”, Funktsional. Anal. i Prilozhen., 46:1 (2012), 75–79
Citation in format AMSBIB
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\paper Quasi-Contractions on a Nonnormal Cone Metric Space
\jour Funktsional. Anal. i Prilozhen.
\yr 2012
\vol 46
\issue 1
\pages 75--79
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http://mi.mathnet.ru/eng/faa3057https://doi.org/10.4213/faa3057 http://mi.mathnet.ru/eng/faa/v46/i1/p75
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