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Note on “Coupled fixed point theorems for contractions in fuzzy metric spaces”
- Source :
-
Nonlinear Analysis . Nov2011, Vol. 74 Issue 16, p5475-5479. 5p. - Publication Year :
- 2011
-
Abstract
- Abstract: In the paper “Coupled fixed point theorems for contractions in fuzzy metric spaces” by Sedghi et al. [S. Sedghi, I. Altun, N. Shobec, Coupled fixed point theorems for contractions in fuzzy metric spaces, Nonlinear Analysis 72 (2010) 1298–1304], a coupled common fixed point result was presented. However, our purpose is to show that this result and its proof are false. We give a counterexample and also explain how to correct this result. As a modification, we state and prove a coupled fixed point theorem under some hypotheses of fuzzy metric and -norm. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 74
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 61980272
- Full Text :
- https://doi.org/10.1016/j.na.2011.05.034