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DOI: 10.23952/jnfa.2022.17
Received December 31, 2022; Accepted April 4, 2022; Published May 9, 2022
Abstract In this paper, we first propose a new algorithm for the split common fixed point problems of demicontractive mappings based on viscosity methods and inertial effects in Hilbert spaces. The algorithm is constructed in such a way that its step sizes are not related to the norm of a bounded linear operator. Then, we prove some strong convergence theorems under some suitable conditions. Finally, we provide a numerical example to show the effectiveness of our proposed algorithm. Our results generalize and improve some known results announced recently.
How to Cite this Article:
J. Xiao, Y. Wang, A viscosity method with inertial effects for split common fixed point problems of demicontractive mappings, J. Nonlinear Funct. Anal. 2022 (2022) 17.