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DOI: 10.23952/jnfa.2026.23
Received June 18, 2026; Accepted July 30, 2026; Published August 17, 2026
Abstract. In the paper, we study the split common fixed point problem with multiple output sets for demicontractive mappings in Hilbert spaces. To solve this problem, we propose a multi-parameter viscosity iterative method and its error-sequenced version. Furthermore, we prove the strong convergence of the algorithms under some mild conditions. Our results generalize some existing strong convergence results. Finally, two applications are provided to support our convergence theorems.
How to Cite this Article:
Y. Wang, Y. Wang, A viscosity algorithm for the split common fixed point problem with multiple output sets, J. Nonlinear Funct. Anal. 2026 (2026) 23.