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

Strong Convergence Results for Hierarchical Circularly Iterative Method about Hierarchical Circularly Optimization
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摘要 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. 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.
作者 Hongbo Liu
机构地区 School of Science
出处 《Advances in Pure Mathematics》 2013年第7期615-620,共6页 理论数学进展(英文)
关键词 HIERARCHICAL OPTIMIZATION Problems Circularly Variational INEQUALITIES Fixed Point HIERARCHICAL Circularly Iterative Sequence Strongly Quasi-Nonexpansive Mapping Hierarchical Optimization Problems Circularly Variational Inequalities Fixed Point Hierarchical Circularly Iterative Sequence Strongly Quasi-Nonexpansive Mapping
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