Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces

作者：Tang, Yuchao^*; Liu, Liwei

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, 2016(1): 284.

DOI：10.1186/s13660-016-1228-4

• split feasibility problem
• strong convergence
• the best approximation

In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via our iteration method.

• 出版日期2016-11-17
• 单位南昌大学