https://bangmodjmcs.com/index.php/bangmodmcs <p><strong>Bangmod</strong> International <strong>J</strong>ournal of<strong> Mathematical and Computational Science (<em>Bangmod J-MCS</em>) : ISSN: 2408-154X (print), ISSN: 3057-0557 (online), </strong>publishes high-quality and original research at the intersection of mathematics, applied mathematics, and computational science. Articles are available in hard copy under copyrighted by The <strong>T</strong>heoretical <strong>a</strong>nd <strong>C</strong>omputational <strong>S</strong>cience (<strong>TaCS</strong>) Center since 2015 ( now named as TaCS-Center of Excellence in 2021), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thailand. Accepted papers will be published online in their final form as a <strong><em>Bangmod J-MCS</em></strong> formatted PDF and will be published annually. The publication is free of charge. </p> <p>A manuscript to submitting <strong>Bangmod J-MCS</strong> must be written on one side of the paper preferably by <em><strong>Using LaTex software</strong></em>, (please use this <a href="https://drive.google.com/drive/folders/1I1qsvY8YkDNO5vcHdaNfFCuv9HLn615E?usp=sharing" target="_blank" rel="noopener"><strong>Bangmod J-MCS</strong> <strong>Template</strong></a> and PDF Bangmod J-MCS template), see more in the MANUSCRIPT SUBMISSION AND AUTHOR GUIDELINES section. Only papers submitted in English will be considered for publication.</p> <p><strong>Cover to Cover Reviewed/ Indexed </strong>in <strong><a title="Scopus" href="https://www.scopus.com/sourceid/21101242571?origin=resultslist" target="_blank" rel="noopener">Scopus</a> (</strong>https://www.scopus.com/sourceid/21101242571?origin=resultslist)</p> Bangmod J-MCS en-US Bangmod International Journal of Mathematical and Computational Science 2408-154X https://bangmodjmcs.com/index.php/bangmodmcs/article/view/131 <p>Because of the importance of the variational inequality problem that related to many other problems in various branches of science and engineering, it becomes one of the most popular topics which many researchers pay deeply attention to study on the way to solve and the way to apply. In this research, we study the monotone variational inequality over triple hierarchical problem. We propose a new implicit algorithm to find the solution with the strong convergence theorem which is proved and applied to guarantee its solution under some weak assumptions. Our results enhance those of Xu et al., Ke and Ma, Dhakal and Wutiphol and many other authors.</p> Sangkhae Suwansoontorn Winate Sanhan Thanyarat Jitpeera Chirasak Mongkolkeha Copyright (c) 2025 Bangmod International Journal of Mathematical and Computational Science https://creativecommons.org/licenses/by-nc-nd/4.0 2025-01-25 2025-01-25 11 1 22 10.58715/bangmodjmcs.2025.11.1