Some Notes on the Paper “New Common Fixed Point Theorems for Maps on Cone Metric Spaces”

Abstract

In this paper, we show that Theorem 2.1 [1] (resp. Theorem 2.2 [1]) is a consequence of Corollary 2.1 [1] ( resp. Corollary 2.2 [1]).

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M. Ahmed, "Some Notes on the Paper “New Common Fixed Point Theorems for Maps on Cone Metric Spaces”," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 2, 2013, pp. 150-151. doi: 10.4236/ijmnta.2013.22019.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] G. Song, X. Sun, Y. Zhao and G. Wang, “New Common Fixed Point Theorems for Maps on Cone Metric Spaces,” Applied Mathematics Letters, Vol. 23, No. 9, 2010, pp. 1033-1037. doi:10.1016/j.aml.2010.04.032
[2] L.-G. Huang and X. Zhang, “Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings,” Journal of Mathematical Analysis and Applications, Vol. 332, No. 2, 2007, pp. 1468-1476. doi:10.1016/j.jmaa.2005.03.087
[3] R. H. Haghi, Sh. Rezapour and N. Shahzad, “Some Fixed Point Generalizations Are Not Real Generalizations,” Nonlinear Analysis, Theory, Methods and Applications, Vol. 74, 2011, pp. 1799-1803.
[4] C. Di Bari and P. Vetro, “-Pairs and Common Fixed Points in Cone Metric Spaces,” Rendiconti del Circolo Matematico di Palermo, Vol. 57, No. 2, 2008, pp. 279-285. doi:10.1007/s12215-008-0020-9

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