Name
Title | ||
|---|---|---|
A Cyclic and Simultaneous Iterative Method for Solving the Multiple-Sets Split Feasibility Problem |
Abstract | ||
|---|---|---|
The iterative projection methods for solving the multiple-sets split feasibility problem have been paid much attention in recent years. In this paper, we introduce a cyclic and simultaneous iterative sequence with self-adaptive step size for solving this problem. The advantage of the self-adaptive step size is that it does not need to know the Lipschitz constant of the gradient operator in advance. Furthermore, we propose a relaxed cyclic and simultaneous iterative sequence with self-adaptive step size, respectively. The theoretical convergence results are established in an infinite-dimensional Hilbert spaces setting. Preliminary numerical experiments show that these iteration methods are practical and easy to implement. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s10957-014-0701-9 | Journal of Optimization Theory and Applications |
Keywords | Field | DocType |
Multiple-sets split feasibility problem, Cyclic iteration method, Simultaneous iteration method, 90C25, 90C30, 47J25 | Hilbert space,Convergence (routing),Mathematical optimization,Preconditioner,Iterative method,Mathematical analysis,Lipschitz continuity,Need to know,Operator (computer programming),Mathematics | Journal |
Volume | Issue | ISSN |
166 | 3 | 1573-2878 |
Citations | PageRank | References |
1 | 0.37 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Meng Wen | 1 | 1 | 0.37 |
| Ji-Gen Peng | 2 | 418 | 50.45 |
| Yuchao Tang | 3 | 1 | 0.70 |