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Fang Su, Lulu Liu, Xiao-Huan Li, Qiao-Li Dong, A multi-step inertial asynchronous sequential algorithm for common fixed point problems

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DOI: 10.23952/jnva.8.2024.3.08

Volume 8, Issue 3, 1 June 2024, Pages 473-484

 

Abstract. In this paper, we introduce a multi-step inertial asynchronous sequential (MIAS) algorithm for common fixed point problems of nonexpansive operators and establish the weak convergence of the proposed algorithm. The unconditional convergence of a one-step inertial algorithm is also obtained. The application to linear systems is presented by combining Kaczmarz method. Finally, a numerical example for CT problems illustrates the efficiency of our algorithm.

 

How to Cite this Article:
F. Su, L. Liu, X.H. Li, Q.L. Dong, A multi-step inertial asynchronous sequential algorithm for common fixed point problems, J. Nonlinear Var. Anal. 8 (2024), 473-484.