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Three kinds of hybrid algorithms and their numerical realizations for a finite family of quasi-asymptotically pseudocontractive mappings

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Abstract

The purpose of this article is to propose three new hybrid projection methods for a finite family of quasi-asymptotically pseudocontractive mappings. The strong convergence of the algorithms is proved in real Hilbert spaces. Some numerical experiments are also included to compare and explain the effectiveness of the proposed methods.

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Funding

This study is supported by the National Natural Science Foundation of China under grant (11071053; 61751217); Natural Science Basic Research Plan in Shaanxi Province of China (2014JM2-1003; 2016JM6082); and Scientific research project of Yan’an University (YD2016-12).

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Yan’an University, Shaanxi, 716000, People’s Republic of China

    Xing Hui Gao & Le Rong Ma

  2. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, People’s Republic of China

    Hai Yun Zhou

Authors
  1. Xing Hui Gao
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  2. Le Rong Ma
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  3. Hai Yun Zhou
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Correspondence to Xing Hui Gao.

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Gao, X.H., Ma, L.R. & Zhou, H.Y. Three kinds of hybrid algorithms and their numerical realizations for a finite family of quasi-asymptotically pseudocontractive mappings. Numer Algor 80, 1015–1035 (2019). https://doi.org/10.1007/s11075-018-0515-1

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  • DOI: https://doi.org/10.1007/s11075-018-0515-1

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