@article{Hammad2025, 
author = {Hasanen A. Hammad and Habib ur Rehman and Manuel De la Sen},
title = {Convergence behavior of practical iterative schemes for split fixed point problems under fixed and variable stepsize strategies},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {16068-16104},
keywords = {convergence result, numerical method, Hilbert space, demicontractive mapping, split fixed point problem},
url = {https://www.sciopen.com/article/10.3934/math.2025720},
doi = {10.3934/math.2025720},
abstract = {This work presents a practical iterative algorithm, extending the inertial Mann iteration, for solving split fixed-point problems with demicontractive mappings in real Hilbert spaces. We rigorously establish both its weak and strong convergence under clearly defined parametric conditions. Our methodology utilizes versatile two-step selection techniques with both fixed and variable step sizes. Compelling numerical experiments confirm the algorithm's accuracy and computational efficiency in approximating solutions to these challenging problems.}
}