A shrinking projection method for nonexpansive mappings with nonsummable errors in a Hadamard space

被引：4

作者：

Kimura, Yasunori ^{[1
]}

机构：

[1] Toho Univ, Dept Informat Sci, Chiba 2748510, Japan

来源：

ANNALS OF OPERATIONS RESEARCH | 2016年 / 243卷 / 1-2期

基金：

日本学术振兴会;

关键词：

Nonexpansive mapping; Fixed point; Shrinking projection method; Iterative scheme; Hadamard space; Real Hilbert ball; Computational error; CONVERGENCE THEOREMS; FAMILY; POINT;

D O I：

10.1007/s10479-014-1571-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider the shrinking projection method with errors on a complete geodesic space having a nonpositive curvature. The result shows that the iterative scheme still has the convergent property even if errors occur when we computes the values of metric projections. We do not assume any summability conditions of the error terms for this result.

引用

页码：89 / 94

页数：6

共 16 条

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