Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators

An iteration method for finding the split common fixed-point of asymptomatic quasi-nonexpansive operators is analyzed. The new iteration generated by the algorithm is a weighted average of three intermediate points. Weak convergence results are established in a uniformly convex Banach space.

Bibliographic Details
Main Authors: Dang, Y., Meng, F., Sun, Jie
Format: Journal Article
Published: Yokohama Publishers 2014
Subjects:
Online Access:http://www.ybook.co.jp/online2/pjov10.html
http://hdl.handle.net/20.500.11937/34279
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author Dang, Y.
Meng, F.
Sun, Jie
author_facet Dang, Y.
Meng, F.
Sun, Jie
author_sort Dang, Y.
building Curtin Institutional Repository
collection Online Access
description An iteration method for finding the split common fixed-point of asymptomatic quasi-nonexpansive operators is analyzed. The new iteration generated by the algorithm is a weighted average of three intermediate points. Weak convergence results are established in a uniformly convex Banach space.
first_indexed 2025-11-14T08:36:18Z
format Journal Article
id curtin-20.500.11937-34279
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T08:36:18Z
publishDate 2014
publisher Yokohama Publishers
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-342792017-01-30T13:42:25Z Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators Dang, Y. Meng, F. Sun, Jie asymptomatic quasi-nonexpansive mapping uniformly convex Banach space weak convergence split common xed-point problem An iteration method for finding the split common fixed-point of asymptomatic quasi-nonexpansive operators is analyzed. The new iteration generated by the algorithm is a weighted average of three intermediate points. Weak convergence results are established in a uniformly convex Banach space. 2014 Journal Article http://hdl.handle.net/20.500.11937/34279 http://www.ybook.co.jp/online2/pjov10.html Yokohama Publishers restricted
spellingShingle asymptomatic quasi-nonexpansive mapping
uniformly convex Banach space
weak convergence
split common xed-point problem
Dang, Y.
Meng, F.
Sun, Jie
Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
title Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
title_full Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
title_fullStr Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
title_full_unstemmed Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
title_short Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
title_sort convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
topic asymptomatic quasi-nonexpansive mapping
uniformly convex Banach space
weak convergence
split common xed-point problem
url http://www.ybook.co.jp/online2/pjov10.html
http://hdl.handle.net/20.500.11937/34279