An explicit iterative algorithm for solving the split common solution problem with multiple output sets

Truong Minh Tuyen () and Nguyen Song Ha ()
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Truong Minh Tuyen: Thainguyen University of Sciences
Nguyen Song Ha: Thainguyen University of Sciences

Mathematical Methods of Operations Research, 2025, vol. 102, issue 1, No 4, 105-129

Abstract: Abstract We introduce and study an explicit iterative algorithm for solving the split common solution problem with multiple output sets in real Hilbert spaces. The strong convergence of the proposed algorithm is proved via some simple conditions. As applications, we derive consequences for several special cases of the split common fixed point problem, the split feasibility problem, the split common zero point problem, and the split minimum point problem with multiple output sets. Finally, we present four numerical experiments to demonstrate the performance of the proposed algorithm.

Keywords: Hilbert space; Monotone operator; Split feasibility problem; 47H05; 47H09; 49J53; 90C25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00186-025-00901-7

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