Application and theorems of common fixed points in intuitionistic Menger space under CLR property
Abstract
In this work, we prove some common fixed point theorems for weakly compatible mappings in intuitionistic Menger space using the notion of the common limit range property (CLR property). Our results extend and generalize fixed point theorems on metric spaces, Menger metric spaces. we establish our result by proving the existence and uniqueness of a common solution of Fredhom integral equations. Illustrative examples are also furnished to support our aim results.
Copyright © 2024 Iqbal M. Batiha, Iqbal H. Jebril, Leila Benaoua, Khaled Berrah, Taki-Eddine Oussaeif, Abdelkrim Aliouche, Shawkat Alkhazaleh. 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
I. M. Batiha, I. H. Jebril, L. Benaoua, K. Berrah, T.-E. Oussaeif, A. Aliouche, S. Alkhazaleh, Application and theorems of common fixed points in intuitionistic Menger space under CLR property, Adv. Fixed Point Theory 14 (2024), 59. https://doi.org/10.28919/afpt/8864
BibTeX
@article{Batiha2024,
author = {Batiha, Iqbal M. and Jebril, Iqbal H. and Benaoua, Leila and Berrah, Khaled and Oussaeif, Taki-Eddine and Aliouche, Abdelkrim and Alkhazaleh, Shawkat},
title = {Application and theorems of common fixed points in intuitionistic Menger space under CLR property},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {59},
doi = {10.28919/afpt/8864}
}