A New Iterative Construction for Approximating Solutions of a Split Common Fixed Point Problem

Huimin He, Qinwei Fan, Rudong Chen and Sun Young Cho

Journal of Mathematics, 2021, vol. 2021, 1-12

Abstract: In this paper, we aim to construct a new strong convergence algorithm for a split common fixed point problem involving the demicontractive operators. It is proved that the vector sequence generated via the Halpern-like algorithm converges to a solution of the split common fixed point problem in norm. The main convergence results presented in this paper extend and improve some corresponding results announced recently. The highlights of this paper shed on the novel algorithm and the new analysis techniques.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6659079

DOI: 10.1155/2021/6659079

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