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Received September 20, 2018; Accepted July 22, 2019; Published September 8, 2019
Abstract. In this paper, we use the dual variable to propose a new cyclic iterative algorithm for solving the multiple-set split common fixed-point problem of averaged operators in Hilbert spaces. Inspired by the idea of parallel iterative algorithms, we also introduce two mixed iterative algorithms which combine the process of cyclic and parallel together. Under mild assumptions, we prove weak convergence of the proposed iterative sequences in Hilbert spaces. As applications, we obtain several iterative algorithms to solve the multiple-set split feasibility problem.
How to Cite this Article:
Jing Zhao, Dingfang Hou, Haili Zong, Several iterative algorithms for solving the multiple-set split common fixed-point problem of averaged operators, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 39, pp. 1-15.