Fixed point approximation for \(\rho\)-quasi nonexpansive multivalued mappings via a hybrid iterative scheme with applications
Abstract
We present results on convergence and stability for the Picard-Abbas hybrid iteration for multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces. We also reinforce the results via numerical illustrations. Furthermore, we demonstrate the utilization of this iteration scheme in differential equations.
Copyright © 2026 Manbhalang Chyne, Naveen Kumar. 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
M. Chyne, N. Kumar, Fixed point approximation for \(\rho\)-quasi nonexpansive multivalued mappings via a hybrid iterative scheme with applications, Adv. Fixed Point Theory 16 (2026), 25. https://doi.org/10.28919/afpt/9923
BibTeX
@article{Chyne2026,
author = {Chyne, Manbhalang and Kumar, Naveen},
title = {Fixed point approximation for \(\rho\)-quasi nonexpansive multivalued mappings via a hybrid iterative scheme with applications},
journal = {Adv. Fixed Point Theory},
volume = {16},
year = {2026},
pages = {25},
doi = {10.28919/afpt/9923}
}