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A New Self-Adaptive Method for the Multiple-Sets Split Common Null Point Problem in Banach Spaces

Vietnam Journal of Mathematics (2022)Cite this article

Abstract

In this paper, we study the multiple-sets split common null point problem (MSCNPP) in Banach spaces. We introduce a new self-adaptive algorithm for solving this problem. Under suitable conditions, we prove a strong convergence theorem of the proposed algorithm. An application of the main theorem to the multiple-sets split feasibility problem in Banach spaces is also presented. Finally, we provide the numerical experiments which show the efficiency and implementation of the proposed method.

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Acknowledgements

T.M. Tuyen was supported by the Science and Technology Fund of the Vietnam Ministry of Education and Training (B2022-TNA-23). P. Cholamjiak was supported by University of Phayao and Thailand Science Research and Innovation grant no. FF65-UoE001. P. Sunthrayuth was supported by Rajamangala University of Technology Thanyaburi (RMUTT). The authors would like to thank the anonymous referees for their valuable comments and suggestions which helped to improve the quality of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Thai Nguyen University of Sciences, Thai Nguyen, Viet Nam

    Truong Minh Tuyen

  2. School of Science, University of Phayao, Phayao, 56000, Thailand

    Prasit Cholamjiak

  3. Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani, 12110, Thailand

    Pongsakorn Sunthrayuth

Authors
  1. Truong Minh Tuyen
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  2. Prasit Cholamjiak
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  3. Pongsakorn Sunthrayuth
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Correspondence to Pongsakorn Sunthrayuth.

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Tuyen, T.M., Cholamjiak, P. & Sunthrayuth, P. A New Self-Adaptive Method for the Multiple-Sets Split Common Null Point Problem in Banach Spaces. Vietnam J. Math. (2022). https://doi.org/10.1007/s10013-022-00574-3

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  • DOI: https://doi.org/10.1007/s10013-022-00574-3

Keywords

  • Banach space
  • Strong convergence
  • Maximal monotone
  • Split common null point problem

Mathematics Subject Classification (2010)

  • 47H09
  • 47H10
  • 47J25
  • 47J05