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A generalized cyclic iterative method for solving variational inequalities over the solution set of a split common fixed point problem

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Abstract

We introduce a new generalized cyclic iterative method for finding solutions of variational inequalities over the solution set of a split common fixed point problem with multiple output sets in a real Hilbert space.

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Acknowledgements

Both authors are grateful to an anonymous referee for his/her useful comments and helpful suggestions.

Funding

The first author was partially supported by the Israel Science Foundation (Grant 820/17), by the Fund for the Promotion of Research at the Technion and by the Technion General Research Fund. The second author was supported by the Science and Technology Fund of the Vietnam Ministry of Education and Training (B2022-TNA-23).

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Authors and Affiliations

  1. Department of Mathematics, The Technion – Israel Institute of Technology, Haifa, 32000, Israel

    Simeon Reich

  2. Department of Mathematics and Informatics, Thai Nguyen University of Sciences, Thai Nguyen, 24000, Vietnam

    Truong Minh Tuyen

Authors
  1. Simeon Reich
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  2. Truong Minh Tuyen
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Correspondence to Truong Minh Tuyen.

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The authors declare no competing interests.

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Reich, S., Tuyen, T.M. A generalized cyclic iterative method for solving variational inequalities over the solution set of a split common fixed point problem. Numer Algor 91, 1–17 (2022). https://doi.org/10.1007/s11075-021-01252-0

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  • DOI: https://doi.org/10.1007/s11075-021-01252-0

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