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Huanhuan Cui, Fenghui Wang, Iterative methods for solving split common fixed-point problems with a weakened condition on step sizes

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DOI: 10.23952/jnva.9.2025.2.08

Volume 9, Issue 2, 1 April 2025, Pages 297-308

 

Abstract. In this paper, we investigate split common fixed-point problems with multiple output subsets when the involved nonlinear mappings are demicontractive. By exploring the properties of demicontractive mappings, we further weaken the condition on the step size, which ensures the convergence of iterative methods for solving such problems. The preliminary experimental findings provide compelling empirical evidence substantiating the effectiveness of the proposed step size.

 

How to Cite this Article:
H. Cui, F. Wang, Iterative methods for solving split common fixed-point problems with a weakened condition on step sizes, J. Nonlinear Var. Anal. 9 (2025), 297-308.