On viscosity iterative methods for variational inequalities

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

iterative methods for equilibrium problems, variational inequalities and fixed points

Iterative methods for generalized variational inequalities

h this paper, we use the auxiliary principle technique to suggest a new &ass of predictor-corrector algorithms for solving generalized variational inequalities. The convergence of the proposed method only requires the partially relaxed strongly monotonicity of the operator, which is weaker than co-coercivity. As special cases, we obtain a number of known and new results for solving va,rious cla...

Iterative Methods for Solving Trifunction Variational Inequalities

In this paper, we introduce and consider a class of variational inequalities, which is called the trifunction variational inequality. We use the auxiliary principle technique to suggest and analyze an implicit iterative methods for solving the trifunction variational inequalities. We study the convergence criteria of this new method under pseudomomotonicity condition, which is weaker condition ...

On Two Iterative Methods for Mixed Monotone Variational Inequalities

A mixed monotone variational inequality MMVI problem in a Hilbert space H is formulated to find a point u∗ ∈ H such that 〈Tu∗, v − u∗〉 φ v − φ u∗ ≥ 0 for all v ∈ H, where T is a monotone operator and φ is a proper, convex, and lower semicontinuous function onH. Iterative algorithms are usually applied to find a solution of an MMVI problem. We show that the iterative algorithm introduced in the ...