Theoretical Mathematics & Applications

Improving Strong Convergence Results for Hierarchical Optimization

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• Abstract

  In this paper, an hierarchical circularly iterative method is introduced for solving a system of variational circularly inequalities with set of fixed points of strongly quasi-nonexpansive mapping problems. Under suitable conditions, strong convergence results are proved in the setting of Hilbert spaces. Our scheme can be regarded as a more general variant of the algorithm proposed by Mainge.