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Weak convergence theorems of the modified relaxed projection algorithms for the split feasibility problem in Hilbert spaces |
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| Authors: | Qiao-Li Dong Yonghong Yao Songnian He |
| Institution: | 1. College of Science, Civil Aviation University of China, Tianjin, 300300, China 2. Tianjin Key Laboratory for Advanced Signal Processing, Civil Aviation University of China, Tianjin, 300300, China 3. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China |
| Abstract: | In this paper, we introduce a modified relaxed projection algorithm and a modified variable-step relaxed projection algorithm for the split feasibility problem in infinite-dimensional Hilbert spaces. The weak convergence theorems under suitable conditions are proved. Finally, some numerical results are presented, which show the advantage of the proposed algorithms. |
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