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A shrinking projection method for solving the split common null point problem in Banach spaces

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In this paper, in order to solve the split common null point problem, we investigate a new explicit iteration method, base on the shrinking projection method and ε-enlargement of a… Click to show full abstract

In this paper, in order to solve the split common null point problem, we investigate a new explicit iteration method, base on the shrinking projection method and ε-enlargement of a maximal monotone operator. We also give some applications of our main results for the problem of split minimum point, multiple-sets split feasibility, and split variational inequality. Two numerical examples also are given to illustrate the effectiveness of the proposed algorithm.

Keywords: split common; null point; point; common null; point problem; problem

Journal Title: Numerical Algorithms
Year Published: 2018

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