A hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities

In this paper, we introduce a hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities. Under suitable assumptions, strong convergence theorems have been proved in the framework of a Hilbert space. The results here improve and extend some recent corresponding results in the current literature. In addition, numerical results indicate that the proposed method is quite effective.

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