An inertial Censor-Segal algorithm for split common fixed-point problems

Huanhuan Cui, Haixia Zhang, Lu-Chuan Ceng · Fixed Point Theory · 2021

In this paper we study the split common fixed-point problem in Hilbert spaces. To speed up its convergence, we modify the algorithm recently introduced by Censor and Segal. Moreover, the step-size in our algorithm is independent of the norm of the given linear mapping. Under some mild conditions, we establish two weak convergence theorems of the proposed algorithm.

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