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- W2044040638 abstract "We study the multiple-sets split feasibility problem that requires to find 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. By casting the problem into an equivalent problem in a suitable product space we are able to present a simultaneous subgradients projections algorithm that generates convergent sequences of iterates in the feasible case. We further derive and analyze a perturbed projection method for the multiple-sets split feasibility problem and, additionally, furnish alternative proofs to two known results." @default.
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- W2044040638 date "2007-03-01" @default.
- W2044040638 modified "2023-10-17" @default.
- W2044040638 title "Perturbed projections and subgradient projections for the multiple-sets split feasibility problem" @default.
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- W2044040638 doi "https://doi.org/10.1016/j.jmaa.2006.05.010" @default.
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