Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces

被引：141

作者：

Matsushita S.-Y.

Takahashi W.

机构：

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

来源：

Fixed Point Theory and Applications | / 2004卷 / 1期

关键词：

D O I：

10.1155/S1687182004310089

中图分类号：

学科分类号：

摘要：

We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection. We apply these results to the convex feasibility problem and a proximal-type algorithm for monotone operators in Banach spaces.

引用

页码：37 / 47

页数：10

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