Strong Convergence Results for Hierarchical Circularly Iterative Method about Hierarchical Circularly Optimization

Hongbo  Liu

doi:10.4236/apm.2013.37079

Hongbo Liu^*

Abstract: 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 in this paper. Under some suitable conditions, strong convergence results for the hierarchical circularly iterative sequence are proved in the setting of Hilbert spaces. Our scheme can be regarded as a more general variant of the algorithm proposed by Maingé.

Keywords: Hierarchical Optimization Problems; Circularly Variational Inequalities; Fixed Point; Hierarchical Circularly Iterative Sequence; Strongly Quasi-Nonexpansive Mapping

Cite this paper: H. Liu, "Strong Convergence Results for Hierarchical Circularly Iterative Method about Hierarchical Circularly Optimization," Advances in Pure Mathematics, Vol. 3 No. 7, 2013, pp. 615-620. doi: 10.4236/apm.2013.37079.

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