Some aspects of variational inequalities
Journal of Computational and Applied Mathematics
E-convex sets, E-convex functions, and E-convex programming
Journal of Optimization Theory and Applications
Existence of Solutions and Star-shapedness in Minty Variational Inequalities
Journal of Global Optimization
Parametric well-posedness for variational inequalities defined by bifunctions
Computers & Mathematics with Applications
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In this paper, we introduce and consider a new class of equilibrium variational inequalities, called the mixed general equilibrium bifunction variational inequalities. We suggest and analyze some proximal methods for solving mixed general equilibrium bifunction variational inequalities using the auxiliary principle technique. Convergence of these methods is considered under some mild suitable conditions. Several cases are also discussed. Results in this paper include some new and known results as special cases.