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Fixed points of weak contractions in cone metric spaces

✍ Scribed by Binayak S. Choudhury; N. Metiya

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 323 KB
Volume: 72
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.08.040

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✦ Synopsis

Cone metric spaces are generalizations of metric spaces, where the metric is Banach spacevalued. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In the present work, we establish a unique fixed point result for weak contractions in cone metric spaces. Our result is supported by an example.

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