In this paper, we use the dual variable to propose a new cyclic iterative algorithm for solving the multiple-setsplitcommonfixed-pointproblem of averaged operators in Hilbert spaces. Inspired by the idea of parall...
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In this paper, we use the dual variable to propose a new cyclic iterative algorithm for solving the multiple-setsplitcommonfixed-pointproblem 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-setsplit feasibility problem.
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