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.