Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840529 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 5 Pages |
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 tt-norm.
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Authors
Xing-Hua Zhu, Jian-Zhong Xiao,