@article{Hussain2025, 
author = {Tanveer Hussain and Abdul Rahim Khan and Kiran Riaz and Hind Alamri},
title = {Approximating common fixed points of non-expansive type multi-valued mappings in convex metric space},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {30053-30067},
keywords = {common fixed point, multi-valued mappings, non-expansive mappings, convex metric space, fixed point iteration, asymptotically non-expansive},
url = {https://www.sciopen.com/article/10.3934/math.20251321},
doi = {10.3934/math.20251321},
abstract = {We propose a one-step iterative scheme to approximate common fixed points of multi-valued non-expansive mappings in a convex metric space    Υ, under certain mild boundary conditions. We present a numerical example to verify our convergence result obtained herein. We also establish some convergence results for multi-valued asymptotically non-expansive mappings in this context, which either improve or generalize results obtained for multi-valued non-expansive mappings on    Υ. Furthermore, we demonstrate how these findings can be applied to solve a system of two equations defined by multi-valued asymptotically non-expansive mappings on a convex metric space.}
}