4.5 Article

Nonlinear iterative methods for solving the split common null point problem in Banach spaces

Journal

OPTIMIZATION METHODS & SOFTWARE
Volume 34, Issue 4, Pages 853-874

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/10556788.2018.1472257

Keywords

Split common null point problem; strong convergence; resolvent operator; metric resolvent; Banach space

Funding

  1. Thailand Research Fund
  2. Commission on Higher Education [MRG5980248]
  3. Alexander von Humboldt Foundation, Bonn

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In this work, we study the split common null point problem in the framework of Banach spaces. We propose an iterative scheme for solving the problem and then prove strong convergence theorem of the sequences generated by our iterative scheme under suitable conditions. We finally provide some numerical examples to support the main theorem.

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