Iterative methods for generalized variational inequalities

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 Equilibrium Problems, Variational Inequalities and Fixed Points

iterative methods for equilibrium problems, variational inequalities and fixed points

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 ...

Extended Extragradient Methods for Generalized Variational Inequalities

where C is a nonempty closed convex subset of a real Hilbert space H and A : C → H is a nonlinear operator. This problem has been researched extensively due to its applications in industry, finance, economics, optimization, medical sciences, and pure and applied sciences; see, for instance, 1–19 and the reference contained therein. For solving the above variational inequality, Korpelevičh 20 in...