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

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 algo...

Full description

Bibliographic Details
Main Authors: Wataru Takahashi, Shin-ya Matsushita
Format: Article
Language:English
Published: SpringerOpen 2004-03-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/S1687182004310089