New iterative algorithm for general trifunction equilibrium variational inequalities
Abstract
In this paper, we propose and analyse several iterative solutions to a new class of equilibrium problems and variational inequalities known as the trifunction equilibrium variational inequality using the auxiliary principle technique. Under extremely reasonable and appropriate assumptions, convergence of these iterative approaches is demonstrated. For these well-known and novel kinds of equilibrium and variational inequalities, the conclusions of this study remain valid.
Copyright © 2025 Netra Kumar Gupta, Suja Varghese, M.A. Siddiqui, Rakesh Tiwari. 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
N. K. Gupta, S. Varghese, M. A. Siddiqui, R. Tiwari, New iterative algorithm for general trifunction equilibrium variational inequalities, Adv. Fixed Point Theory 15 (2025), 6. https://doi.org/10.28919/afpt/8966
BibTeX
@article{Gupta2025,
author = {Gupta, Netra Kumar and Varghese, Suja and Siddiqui, M.A. and Tiwari, Rakesh},
title = {New iterative algorithm for general trifunction equilibrium variational inequalities},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {6},
doi = {10.28919/afpt/8966}
}