Fixed point of hardy-rogers contraction mappings in non-solid cone \(\chi_b\)-metric space with applications
Abstract
The concept of cone χb-metric spaces was recently introduced in 2023 as a generalization of both cone metric spaces and traditional χ-metric spaces, allowing for the possibility that the underlying cones are non-solid. The main objective of this article is to establish certain fixed point results for Hardy–Rogers-type mappings and to investigate the T-stability of Picard’s iteration in the framework of non-solid cone χb-metric spaces. As an application, we employ the main results to demonstrate the existence and uniqueness of solutions to a nonlinear integral equation.
Copyright © 2025 Zahia Djedid, Iqbal M. Batiha, Sharifa Alsharif, Sana Abu-Ghurra, Mazin Aljazzazi, Jamila Jawdat. 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
Z. Djedid, I. M. Batiha, S. Alsharif, S. Abu-Ghurra, M. Aljazzazi, J. Jawdat, Fixed point of hardy-rogers contraction mappings in non-solid cone \(\chi_b\)-metric space with applications, Adv. Fixed Point Theory 15 (2025), 25. https://doi.org/10.28919/afpt/9304
BibTeX
@article{Djedid2025,
author = {Djedid, Zahia and Batiha, Iqbal M. and Alsharif, Sharifa and Abu-Ghurra, Sana and Aljazzazi, Mazin and Jawdat, Jamila},
title = {Fixed point of hardy-rogers contraction mappings in non-solid cone \(\chi_b\)-metric space with applications},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {25},
doi = {10.28919/afpt/9304}
}