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A shrinking projection method for solving the split common null point problem in Banach spaces

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Abstract

In this paper, in order to solve the split common null point problem, we investigate a new explicit iteration method, base on the shrinking projection method and ε-enlargement of a maximal monotone operator. We also give some applications of our main results for the problem of split minimum point, multiple-sets split feasibility, and split variational inequality. Two numerical examples also are given to illustrate the effectiveness of the proposed algorithm.

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Authors and Affiliations

  1. Thai Nguyen University of Science, Thai Nguyen, Vietnam

    Truong Minh Tuyen & Nguyen Song Ha

  2. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam

    Nguyen Thi Thu Thuy

Authors
  1. Truong Minh Tuyen
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  2. Nguyen Song Ha
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  3. Nguyen Thi Thu Thuy
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Correspondence to Truong Minh Tuyen.

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Tuyen, T.M., Ha, N.S. & Thuy, N.T.T. A shrinking projection method for solving the split common null point problem in Banach spaces. Numer Algor 81, 813–832 (2019). https://doi.org/10.1007/s11075-018-0572-5

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  • DOI: https://doi.org/10.1007/s11075-018-0572-5

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