Common fixed point results for weakly compatible mappings under rational contractions with application in complex valued metric spaces
Abstract
In this paper, we establish some common fixed point results for weakly compatible mappings satisfied generalized contraction under rational expressions in complex valued metric spaces. Our results generalize and extend some of the known results in the literature. Finally, we use our results to obtain the unique common solution of Ursohn integral equation.
Copyright © 2018 R.A. Rashwan, M.G. Mahmoud. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. A. Rashwan, M. G. Mahmoud, Common fixed point results for weakly compatible mappings under rational contractions with application in complex valued metric spaces, Adv. Fixed Point Theory 8 (2018), 439–462. https://doi.org/10.28919/afpt/3923
BibTeX
@article{Rashwan2018,
author = {Rashwan, R.A. and Mahmoud, M.G.},
title = {Common fixed point results for weakly compatible mappings under rational contractions with application in complex valued metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {439--462},
doi = {10.28919/afpt/3923}
}