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Received September 19, 2018; Accepted December 19, 2018; Published January 10, 2019
Abstract. In this article, we propose a viscosity approximation method to solve a split feasibility problem. The bounded perturbation resilience of the method is investigated in Hilbert spaces. As tools, averaged mappings and resolvents of maximal monotone operators are technically maneuvered to facilitate the proofs of the main results. Under mild conditions, we prove that our algorithms strongly converge to a solution of the split feasibility problem, which is also the unique solution of a variational inequality problem. Furthermore, we also show the convergence and effectiveness of the algorithms by a numerical example.
How to Cite this Article:
Peichao Duan, Xubang Zheng, Bounded perturbation resilience of a viscosity iterative method for split feasibility problems, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 1, pp. 1-12.