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

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Abstract

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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Authors and Affiliations

  1. School of Electronics and Information Engineering, Fuqing Branch of Fujian Normal University, Fuqing, 350300, People’s Republic of China

    Bin Fan

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  1. Bin Fan
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Correspondence to Bin Fan.

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Fan, B. A hybrid iterative method with averaged mappings for hierarchical fixed point problems and variational inequalities. Numer Algor 70, 451–467 (2015). https://doi.org/10.1007/s11075-014-9956-3

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  • DOI: https://doi.org/10.1007/s11075-014-9956-3

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