Some Iterative Numerical Methods for a Kind of System of Mixed Nonlinear Variational Inequalities
Shuilian Xie, Hongru Xu, Huiqing Huang · Journal of Mathematics Research · 2014
In this paper, we study the numerical solution of a type of system of mixed nonlinear variational inequalities in a Banach space. Using the properties of $\eta-$proximal mapping, we construct some iterative algorithms for solving systems of mixed nonlinear variational inequalities. Moreover, we establish the convergence theorems for the proposed numerical methods.