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Some Notes on the Paper “New Common Fixed Point Theorems for Maps on Cone Metric Spaces”
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
- 1 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 150–151·Published 13 June 2013·DOI10.4236/ijmnta.2013.22019
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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]).
KeywordsCone MetricWeakly CompatibleFixed Point
- 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
- 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
- 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.
- 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