A NOTE ON: ``GENERALIZATION OFMIZOGUCHI-TAKAHASHI TYPE CONTRACTION AND RELATED FIXED POINT THEOREMS''
Farshid Khojasteh, Islamic azad university
8 December 2014
In [2] the authors claimed to assert a new generalization of Mizoguchi-Takahashi’s type contraction but is isn’t really new, because the main result of [2] is Theorem 2.4 and one can conclude easily that it is a slight version of [1, Theorem 10] only by replacing α*-admissible and α-admissible.
References
[1] W. Shih Du, F. Khojasteh, New Results and Generalizations for Approximate Fixed PointProperty and Their Applications, Abstract and Applied Analysis Volume 2014, Article ID581267,9 pages (http://dx.doi.org/10.1155/2014/581267)
[2] Q. Kiran, M. U. Ali, T. Kamran Generalization of Mizoguchi-Takahashi type contraction and related fixed point theorems Journal of Inequalities and Applications 2014,2014:458(Doi:10.1186/1029-242X-2014-458)
A NOTE ON: ``GENERALIZATION OFMIZOGUCHI-TAKAHASHI TYPE CONTRACTION AND RELATED FIXED POINT THEOREMS''
8 December 2014
In [2] the authors claimed to assert a new generalization of Mizoguchi-Takahashi’s type contraction but is isn’t really new, because the main result of [2] is Theorem 2.4 and one can conclude easily that it is a slight version of [1, Theorem 10] only by replacing α*-admissible and α-admissible.
References
[1] W. Shih Du, F. Khojasteh, New Results and Generalizations for Approximate Fixed PointProperty and Their Applications, Abstract and Applied Analysis Volume 2014, Article ID581267,9 pages (http://dx.doi.org/10.1155/2014/581267)
[2] Q. Kiran, M. U. Ali, T. Kamran Generalization of Mizoguchi-Takahashi type contraction and related fixed point theorems Journal of Inequalities and Applications 2014,2014:458(Doi:10.1186/1029-242X-2014-458)
Competing interests
I have no competing interests.