On Banach contraction principle and Sehgal fixed point theorem in extended b-metric space
Abstract
In this paper, we show that Banach contraction principle and other known fixed point results, in the frame of extended b-metric space, are immediate consequences of the analogous theorems in b-metric space. We establish a more general and extended version of Banach contraction principle, we also prove a Sehgal-Guseman type theorem for mappings with contractive iterate at each point in extended b-metric space.
Copyright © 2021 Youness El Kouch, Jamal Mouline. 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
Y. El Kouch, J. Mouline, On Banach contraction principle and Sehgal fixed point theorem in extended b-metric space, Adv. Fixed Point Theory 11 (2021), 20. https://doi.org/10.28919/afpt/6849
BibTeX
@article{Kouch2021,
author = {El Kouch, Youness and Mouline, Jamal},
title = {On Banach contraction principle and Sehgal fixed point theorem in extended b-metric space},
journal = {Adv. Fixed Point Theory},
volume = {11},
year = {2021},
pages = {20},
doi = {10.28919/afpt/6849}
}