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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