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

Authors

  • Poom Kumam King Mongkut's University of Technology Thonburi (KMUTT)
Abstract:

Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, 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 include and generalize the results of Choudhury and Metiya's work.

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Journal title

volume 38  issue 2

pages  293- 303

publication date 2012-07-15

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