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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 5 | Year 2022 | Article Id. IJMTT-V68I5P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I5P502

Common Fixed Point Theorems Satisfying Property (E.A.) in Complex Valued Metric Spaces


Rajesh Pandya, Аklesh Раriyа, Sandeep Kumar Tiwari
Received Revised Accepted Published
10 Mar 2022 02 May 2022 16 May 2022 27 May 2022
Abstract

In this paper, we prove some common fixed point theorems in complex valued metric spaces satisfying (E.A.) property using weakly compatible mappings. Our result generalizes the result of Verma and Pathak [8] and other existing results in complex valued metric spaces.

Keywords
Complex-valued metric space, Weak compatible mappings, Common fixed point, property (E.A).
References

[1] M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions. J Math Anal Appl. 270 (2002) 181–188.
[2] J., Ahmad, A. Azam, and S. Saejung, Common fixed point results for contractive mappings in complex valued metric spaces, Fixed Point Theory Appl., 2014 (2014) 11.
[3] A. Azam, B. Fisher, and M. Khan, Common fixed point theorems in complex valued metric spaces, Num. Func. Anal. Opt. 32 (2011) 243- 253.
[4] G. Jungck and B.E. Rhoades, Fixed point for set valued functions without continuity, I. J. Pure Appl. Math.,29(3) (1998) 227-238.
[5] H.K. Nashine M. Imdad and M. Hasan, Common fixed point theorems under rational contractions in complex valued metric spaces, J. Nonlinear Sci. Appl. 7(2014) 42-50.
[6] A. Rafiq, F. Rouzkard, M. Imdad and Shin Min Kang, Some common fixed point theorem of weakly compatible mappings in complex valued metric spaces, Mitteilungen Klosterneuburg 65 (2015) 1 422-432.
[7] W. Sintunavarat and P. Kumam, Generalized common fixed point theorems in complex valued metric spaces and applications, J. Inequalities Appl. 2012(2012), 11.
[8] R.K. Verma, and H.K. Pathak, Common fixed point theorems using property (E.A) in complex valued metric spaces, Thai Journal of Mathematics, 11(2) (2013) 275-283.

Citation :

Rajesh Pandya, Аklesh Раriyа, Sandeep Kumar Tiwari, "Common Fixed Point Theorems Satisfying Property (E.A.) in Complex Valued Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 5, pp. 6-10, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I5P502

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