Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces

We investigate strong convergence for Bregman strongly nonexpansive mappings by Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result, convergence for a family of Bregman strongly nonexpansive mappings is also discussed. As applications, we apply our main re...

Full description

Saved in:

Bibliographic Details
Main Authors:	Suthep Suantai, Yeol Je Cho, Prasit Cholamjiak
Format:	Journal
Published:	2018
Subjects:	Computer Science Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864287996&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51526
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Chiang Mai University

id	th-cmuir.6653943832-51526
record_format	dspace
spelling	th-cmuir.6653943832-515262018-09-04T06:09:13Z Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces Suthep Suantai Yeol Je Cho Prasit Cholamjiak Computer Science Mathematics We investigate strong convergence for Bregman strongly nonexpansive mappings by Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result, convergence for a family of Bregman strongly nonexpansive mappings is also discussed. As applications, we apply our main result to problems of finding zeros of maximal monotone operators and equilibrium problems in reflexive Banach spaces. © 2011 Elsevier Ltd. All rights reserved. 2018-09-04T06:03:47Z 2018-09-04T06:03:47Z 2012-08-01 Journal 08981221 2-s2.0-84864287996 10.1016/j.camwa.2011.12.026 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864287996&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51526
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Mathematics
spellingShingle	Computer Science Mathematics Suthep Suantai Yeol Je Cho Prasit Cholamjiak Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
description	We investigate strong convergence for Bregman strongly nonexpansive mappings by Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result, convergence for a family of Bregman strongly nonexpansive mappings is also discussed. As applications, we apply our main result to problems of finding zeros of maximal monotone operators and equilibrium problems in reflexive Banach spaces. © 2011 Elsevier Ltd. All rights reserved.
format	Journal
author	Suthep Suantai Yeol Je Cho Prasit Cholamjiak
author_facet	Suthep Suantai Yeol Je Cho Prasit Cholamjiak
author_sort	Suthep Suantai
title	Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
title_short	Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
title_full	Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
title_fullStr	Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
title_full_unstemmed	Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
title_sort	halpern's iteration for bregman strongly nonexpansive mappings in reflexive banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864287996&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51526
_version_	1681423785751740416

Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces

Similar Items