Weak convergence theorems of the modified relaxed projection algorithms for the split feasibility problem in Hilbert spaces

作者：Dong Qiao Li; Yao Yonghong^*; He Songnian

来源：Optimization Letters, 2014, 8(3): 1031-1046.

DOI：10.1007/s11590-013-0619-4

• Split feasibility problem
• Relaxed projection methods
• CQ method
• Projection method
• Inverse strongly monotone

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.

• 出版日期2014-3
• 单位天津工业大学; 中国民航大学