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A parallel method for variational inequalities with the multiple-sets split feasibility problem constraints

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Abstract

In this paper, we propose a parallel method for solving a strongly variational inequality over the multiple-sets split feasibility problem. Strong convergence of the iterative process is proved. As a consequence, we get a strongly convergent algorithm for finding the minimum-norm solution of the multiple-sets split feasibility problem. A simple numerical example is given to illustrate the proposed parallel algorithm.

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  1. Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hanoi, Vietnam

    Tran Viet Anh

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  1. Tran Viet Anh
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Correspondence to Tran Viet Anh.

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Anh, T.V. A parallel method for variational inequalities with the multiple-sets split feasibility problem constraints. J. Fixed Point Theory Appl. 19, 2681–2696 (2017). https://doi.org/10.1007/s11784-017-0452-y

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