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A new halfspace-relaxation projection method for the split feasibility problem. (English) Zbl 1135.65022
Let \(C\) and \(Q\) be nonempty closed convex in \(\mathbb R^{n}\) and \(\mathbb R^{m}\), respectively, and \(A\) an \(m\times n\) real matrix. The problem, to find \( x\in C\) with \(Ax\in Q\) if such \(x\) exists, is called the split feasibility problem(SPF). The authors propose a new halfspace-relaxation projection method for the SFP. The method is implemented very easily and is proven to be fully convergent to the solution for the case where the solution set of the SFP is nonempty.

MSC:
65F30 Other matrix algorithms (MSC2010)
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