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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 10 | Year 2021 | Article Id. IJMTT-V67I10P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I10P508

A Remark On The Fixed-Point Theorem of Mustafa


Patel Mittal, Sharma Jaita, Deheri Gunamani
Abstract

We show that the main result (Theorem 2.11) due to Mustafa at. el.(J. Fixed Point Theory and Applications, 2019:16, https://doi.org/10.1186/s13663-019-0666-3) can be prove without taking continuity of the class of functions defined by Jleli et al.

Keywords
Fixed point, JS-contractions, Continuity
References

[1] Z.Mustafa Z. Mustafa, R.J. Shahkoohi, V. Parvaneh, Z. Kadelburg and M.M.M. Jaradat, Ordered Sp-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems, Fixed Point Theory and Applications, (2019) 2019:16, https://doi.org/10.1186/s13663-019-0666-3S
[2] Z. Mustafa ,V. Parvaneh ,M. Jaradat and Z. Kadelburg, Extended Rectangular b-Metric Spaces and Some Fixed Point Theorems for Contractive Mappings, Symmetry,11,594,2019, doi:10.3390/sym11040594.
[3] Jleli, M., Karapınar, E., Samet, B., Further generalizations of the Banach contraction principle. J. Inequal. Appl. 2014, 439 .
[4] Sushanta Kumar Mohanta , Common Fixed Points for Generalized Weakly Contractive Mappings in G-Metric Spaces, International Journal of Mathematical Trends and Technology (IJMTT), 2014, vol-5.
[5] Some Common Fixed Point Theorems Using Implicit Relations in Menger Spaces, Vishal Gupta , Balbir Singh , Sanjay Kumar, International Journal of Mathematical Trends and Technology (IJMTT), 2014, vol-5.

Citation :

Patel Mittal, Sharma Jaita, Deheri Gunamani, "A Remark On The Fixed-Point Theorem of Mustafa," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 10, pp. 77-79, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I10P508

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