Iterative algorithms for solving the split feasibility problem in Hilbert spaces

作者：Zhao, Jing^*; Zong, Haili

来源：Journal of Fixed Point Theory and Applications, 2018, 20(1): 11.

DOI：10.1007/s11784-017-0480-7

• Split feasibility problem
• iterative algorithm
• weak convergence
• strong convergence
• hilbert space

In this paper, we introduce two iterative algorithms for the split feasibility problem in real Hilbert spaces by reformulating it as a fixed point equation. Under suitable conditions, weak and strong convergence theorems are established. As a consequence, we obtain weak and strong convergence iterative sequences for the split equality problem introduced by Moudafi. The efficiency of the proposed algorithms is illustrated by numerical experiments. Our results improve and extend the corresponding results announced by many others.

• 出版日期2018-3
• 单位中国民航大学