Acta mathematica scientia,Series B ›› 2026, Vol. 46 ›› Issue (1): 505-518.doi: 10.1007/s10473-026-0125-2

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TWO PARALLEL ALGORITHMS FOR A CLASS OF SPLIT COMMON SOLUTION PROBLEMS

Truong Minh TUYEN1,*, Nguyen Thi TRANG2, Tran Thi HUONG3   

  1. 1. Department of Mathematics and Informatics, Thai Nguyen University of Sciences, Thainguyen, Vietnam;
    2. Basic Science Faculty, Hanoi University of Natural Resources and Environment, Hanoi, Vietnam;
    3. Thainguyen University of Technology, Thainguyen, Vietnam
  • Received:2024-04-24 Revised:2024-08-27 Online:2026-01-25 Published:2026-05-22
  • Contact: * Truong Minh TUYEN, E-mail: tuyentm@tnus.edu.vn
  • About author:Nguyen Thi TRANG, E-mail: nttrang.dc@hunre.edu.vn;Tran Thi HUONG, E-mail: tranthihuong@tnut.edu.vn
  • Supported by:
    Science and Technology Fund of TNU-Thai Nguyen University of Science.

Abstract: We study the split common solution problem with multiple output sets for monotone operator equations in Hilbert spaces. To solve this problem, we propose two new parallel algorithms. We establish a weak convergence theorem for the first and a strong convergence theorem for the second.

Key words: iterative algorithm, Hilbert space, metric projection, proximal point algorithm

CLC Number: 

  • 47H05
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