Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces

被引：0

作者：

Wataru Takahashi

Hong-Kun Xu

Jen-Chin Yao

机构：

[1] Kaohsiung Medical University,Department of Applied Mathematics

[2] King Abdulaziz University,Department of Mathematics

[3] Keio University,Keio Research and Education Center for Natural Sciences

[4] Tokyo Institute of Technology,Department of Mathematical and Computing Sciences

[5] Kaohsiung Medical University,Center for Fundamental Science

来源：

Set-Valued and Variational Analysis | 2015年 / 23卷

关键词：

47H05; 47H09; 47H20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Generalized split feasibility problems governed by generalized hybrid mappings are studied via iterative methods. Several algorithms are introduced to solve them. In particular, weak convergence of these algorithms is proved. As tools, averaged mappings and resolvents of maximal monotone operators are technically maneuvered to facilitate the argument of the proofs to the main results. Applications to Mann’s iteration method for nonexpansive mappings and to equilibrium problems are included.

引用

页码：205 / 221

页数：16

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