SEVERAL ITERATIVE ALGORITHMS FOR THE MULTIPLE-SETS SPLIT EQUALITY PROBLEM

被引：0

作者：

Li, Junlei ^{[1
]}

Chen, Rudong ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2015年 / 77卷 / 01期

关键词：

Multiple-sets split equality problem; Split feasibility problem; Averaged mapping; Fixed point; Optimization problem; CQ-ALGORITHM; FIXED-POINTS; FEASIBILITY; PROJECTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Very recently, A. Moudafi and C. Byrne proposed the split equality problem (SEP), and established several iterative algorithms for solving the SEP. In this paper, we consider the multiple-sets split equality problem (MSSEP) which generalizes the multiplesets split feasibility problem (MSSFP) and the SEP. Some iterative algorithms for solving the MSSEP are proposed in this paper. Two main ideas are stated for solving the MSSEP. On one hand, the MSSEP is transformed to a problem that obtain a common fixed point of finite averaged mappings; on the other hand, the MSSEP is proved to be equivalent to an optimization problem.

引用

页码：87 / 98

页数：12

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