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**Applications of fixed-point and optimization methods to the multiple-set split feasibility problem.**
*(English)*
Zbl 1245.49051

Summary: The multiple-set split feasibility problem requires finding a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space. It can be a model for many inverse problems where constraints are imposed on the solutions in the domain of a linear operator as well as in the operator’s range. It generalizes the convex feasibility problem as well as the two-set split feasibility problem. In this paper, we will review and report some recent results on iterative approaches to the multiple-set split feasibility problem.

### MSC:

49N45 | Inverse problems in optimal control |

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\textit{Y. Yao} et al., J. Appl. Math. 2012, Article ID 927530, 21 p. (2012; Zbl 1245.49051)

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