A New Extragradient-Type Algorithm for the Split Feasibility Problem

作者：Dang, Yazheng^*; Gao, Yan; Wang, Bo

来源：Mathematical Problems in Engineering, 2016, 2016: 6851393.

DOI：10.1155/2016/6851393

• NONEXPANSIVE-MAPPINGS
• ITERATIVE ALGORITHMS
• CONVERGENCE THEOREMS
• CQ ALGORITHM
• CONVEX-SETS
• PROJECTION

We consider the split feasibility problem (SFP) in Hilbert spaces, inspired by extragradient method presented by Ceng, Ansari for split feasibility problem, subgradient extragradient method proposed by Censor, and variant extragradient-type method presented by Yao for variational inequalities; we suggest an extragradient-type algorithm for the SFP. We prove the strong convergence under some suitable conditions in infinite-dimensional Hilbert spaces.

• 出版日期2016
• 单位上海理工大学