Iterative methods for generalized nonlinear 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 Solving General Nonlinear Quasi-Variational Inequalities

This paper presents some iterative methods for solving the general nonlinear quasi-variational inequality problem and consider the convergence criteria of the iterative schemes under certain conditions. Some special cases are also discussed.

Generalized Nonlinear Variational Inequalities

In this paper, we consider a generalized nonlinear variational inequality problem involving single valued and multivalued nonlinear operators. We also study criteria of its solvability. Iterative methods for approximate solution are also proposed and a convergence result is established. Further, we study iterative methods for finding common element of fixed point set of nonexpansive mapping and...

iterative methods for equilibrium problems, variational inequalities and fixed points