Strong convergence theorems for strongly relatively nonexpansive sequences and applications

The aim of this paper is to establish strong convergence theorems for a strongly relatively nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ our results to approximate solutions of the zero point problem for a maximal monotone operator and the fixed point problem f...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2012-02
Main Authors: Aoyama, Koji, Kimura, Yasunori, Kohsaka, Fumiaki
Format: Article
Language:English
Subjects:
Banach spaces
Convergence
Fixed points (mathematics)
Mapping
Theorems
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The aim of this paper is to establish strong convergence theorems for a strongly relatively nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ our results to approximate solutions of the zero point problem for a maximal monotone operator and the fixed point problem for a relatively nonexpansive mapping.
ISSN:2331-8422