Strong Convergence Theorem of the CQ Algorithm for the Multiple-Set Split Feasibility Problem

@article{Guo2011StrongCT,
  title={Strong Convergence Theorem of the CQ Algorithm for the Multiple-Set Split Feasibility Problem},
  author={Yuansheng Guo and Yanrong Yu and Rudong Chen},
  journal={2011 International Conference on Future Computer Sciences and Application},
  year={2011},
  pages={61-64}
}
The multiple-set split feasibility problem(MSSFP) was introduced by Censor([9]) is stated as finding a point $x \in \cap_N^{i=1}$. such that $Ax \in \cap_M^{j=1}Q_j$. where N and M are positive integers, ${C_1,… ,C_N }$ and ${Q_1,… ,Q_M }$ are closed convex subset of Hilbert H1 and H2 , respectively, and A is a linear bounded operator from H1 to H2. MSSFP can be applied to the problem of intensity-modulated radiation therapy in medical care. In this paper, we discuss iterative methods for… CONTINUE READING

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