Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces

被引：0

作者：

Fumiaki Kohsaka

Wataru Takahashi

机构：

[1] Tokyo Denki University,Department of Information Environment

[2] Muzai Gakuendai,Department of Mathematical and Computing Sciences

[3] Tokyo Institute of Technology,undefined

来源：

Fixed Point Theory and Applications | / 2007卷

关键词：

Banach Space; Iterative Method; Differential Geometry; Nonexpansive Mapping; Convex Combination;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using the convex combination based on Bregman distances due to Censor and Reich, we define an operator from a given family of relatively nonexpansive mappings in a Banach space. We first prove that the fixed-point set of this operator is identical to the set of all common fixed points of the mappings. Next, using this operator, we construct an iterative sequence to approximate common fixed points of the family. We finally apply our results to a convex feasibility problem in Banach spaces.

引用

共 50 条

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