Common fixed points of F-weak contractions in cone metric spaces

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Publication Details

Author list: Sintunavarat W., Kumam P.

Publisher: Springer

Publication year: 2012

Journal: Bulletin of the Iranian Mathematical Society (1017-060X)

Volume number: 38

Issue number: 2

Start page: 293

End page: 303

Number of pages: 11

ISSN: 1017-060X

eISSN: 1735-8515

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84869766504&partnerID=40&md5=b90838ab84ad3b39d9eb72ea2086afa7

Languages: English-Great Britain (EN-GB)

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Abstract

Recently, Choudhury and Metiya proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of Banach's contraction mapping, which have been studied by several authors. Here, we introduce the notion of f-weak contractions and also establish a coincidence and common fixed point result for f-weak contractions in cone metric spaces. Our result is supported by an example which includes and generalizes the results of Choudhury and Metiya's work. ฉ 2012 Iranian Mathematical Society.

Keywords

F-weak contraction