Improving Strong Convergence Results for Hierarchical Optimization

Yi Li
2013 Theoretical Mathematics & Applications   unpublished
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 Maingé. Mathematics Subject Classification: 47J05, 47H09, 49J25