Split common fixed point and null point problems for demicontractive operators in Hilbert spaces

© 2017 Informa UK Limited, trading as Taylor & Francis Group In this article, we consider a split common fixed point and null point problem which includes the split common fixed point problem, the split common null problem and other problems related to the fixed point problem and the null poin...

Full description

Saved in:
Bibliographic Details
Main Authors: Pachara Jailoka, Suthep Suantai
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027842427&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/57071
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
id th-cmuir.6653943832-57071
record_format dspace
spelling th-cmuir.6653943832-570712018-09-05T03:44:39Z Split common fixed point and null point problems for demicontractive operators in Hilbert spaces Pachara Jailoka Suthep Suantai Computer Science Mathematics © 2017 Informa UK Limited, trading as Taylor & Francis Group In this article, we consider a split common fixed point and null point problem which includes the split common fixed point problem, the split common null problem and other problems related to the fixed point problem and the null point problem. We introduce an algorithm for studying the split common fixed point and null problem for demicontractive operators and maximal monotone operators in real Hilbert spaces. We establish a strong convergence result under some suitable conditions and reduce our main result to above-mentioned problems. Moreover, we also apply our main results to the split equilibrium problem. Finally, we give numerical results to demonstrate the convergence of our algorithms. 2018-09-05T03:34:33Z 2018-09-05T03:34:33Z 2017-08-19 Journal 10294937 10556788 2-s2.0-85027842427 10.1080/10556788.2017.1359265 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027842427&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57071
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Computer Science
Mathematics
spellingShingle Computer Science
Mathematics
Pachara Jailoka
Suthep Suantai
Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
description © 2017 Informa UK Limited, trading as Taylor & Francis Group In this article, we consider a split common fixed point and null point problem which includes the split common fixed point problem, the split common null problem and other problems related to the fixed point problem and the null point problem. We introduce an algorithm for studying the split common fixed point and null problem for demicontractive operators and maximal monotone operators in real Hilbert spaces. We establish a strong convergence result under some suitable conditions and reduce our main result to above-mentioned problems. Moreover, we also apply our main results to the split equilibrium problem. Finally, we give numerical results to demonstrate the convergence of our algorithms.
format Journal
author Pachara Jailoka
Suthep Suantai
author_facet Pachara Jailoka
Suthep Suantai
author_sort Pachara Jailoka
title Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
title_short Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
title_full Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
title_fullStr Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
title_full_unstemmed Split common fixed point and null point problems for demicontractive operators in Hilbert spaces
title_sort split common fixed point and null point problems for demicontractive operators in hilbert spaces
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027842427&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/57071
_version_ 1681424810347855872