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An Improved Alternating CQ Algorithm for Solving Split Equality Problems

Author

Listed:
  • Yan-Juan He

    (School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China)

  • Li-Jun Zhu

    (The Key Laboratory of Intelligent Information and Big Data Processing of Ningxia Province, North Minzu University, Yinchuan 750021, China
    Health Big Date Research Institute, North Minzu University, Yinchuan 750021, China)

  • Nan-Nan Tan

    (School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China)

Abstract

The CQ algorithm is widely used in the scientific field and has a significant impact on phase retrieval, medical image reconstruction, signal processing, etc. Moudafi proposed an alternating CQ algorithm to solve the split equality problem, but he only obtained the result of weak convergence. The work of this paper is to improve his algorithm so that the generated iterative sequence can converge strongly.

Suggested Citation

  • Yan-Juan He & Li-Jun Zhu & Nan-Nan Tan, 2021. "An Improved Alternating CQ Algorithm for Solving Split Equality Problems," Mathematics, MDPI, vol. 9(24), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3313-:d:706165
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    References listed on IDEAS

    as
    1. Yonghong Yao & Wu Jigang & Yeong-Cheng Liou, 2012. "Regularized Methods for the Split Feasibility Problem," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, February.
    2. Q. L. Dong & Y. C. Tang & Y. J. Cho & Th. M. Rassias, 2018. "“Optimal” choice of the step length of the projection and contraction methods for solving the split feasibility problem," Journal of Global Optimization, Springer, vol. 71(2), pages 341-360, June.
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