Some Iterative Numerical Methods for a Kind of System of Mixed Nonlinear Variational Inequalities

Shuilian Xie, Hongru Xu, Huiqing Huang


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.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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