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

Authors: Tran Viet Anh,

https://doi.org/10.1007/s11784-017-0452-y

Publisher, magazine: ,

Publication year: 2017

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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.

Tags: multiple-sets split feasibility problem; variational inequality; parallel method; minimum-norm solution