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Received September 20, 2018; Accepted December 14, 2018; Published December 29, 2018
Abstract. In this paper, we introduce parallel and cyclic iterative algorithms for solving the multiple-set split equality common fixed-point problem of demicontractive operators. We propose a way of selecting the stepsizes such that the implementation of our algorithms does not need any prior information about operator norms. It thus avoids the difficult task of estimating the operator norms. We also combine the process of cyclic and parallel together and propose two mixed iterative algorithms without prior knowledge of operator norms. The weak convergence theorems of the proposed algorithms are established under some suitable control conditions in a real Hilbert space. Some numerical experiments are given for the proposed iterative algorithms.
How to Cite this Article:
Hongyan Su, Jing Zhao, Self-adaptive iterative algorithms for solving multiple-set split equality common fixed-point problems of demicontractive operators, Journal of Nonlinear Functional Analysis, Vol. 2018 (2018), Article ID 47, pp. 1-17.