@article{Arifuzzaman2025, 
author = { Arifuzzaman and Syed Shakaib Irfan and Iqbal Ahmad},
title = {Iterative approaches to Yosida variational inclusion problem involving averaged operator and logical operations},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {30696-30717},
keywords = {algorithms, averaged operator, logical operation, numerical result, resolvent operator, Yosida approximation operator},
url = {https://www.sciopen.com/article/10.3934/math.20251347},
doi = {10.3934/math.20251347},
abstract = {This paper investigated a Yosida variational inclusion problem (YVIP) in a real ordered Hilbert space, where logical operations are incorporated through an averaged-operator framework. By reformulating the YVIP and its associated resolvent equation as equivalent fixed-point problems, we designed an iterative scheme that systematically integrates these logical and averaged-operator components. Furthermore, we analyzed the convergence of the proposed algorithms. A comparative study with existing algorithms, supported by numerical experiments, demonstrated the improved computational behavior of the proposed method. To illustrate its practical relevance, a representative MATLAB-based numerical result was also presented.}
}