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Title: | Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces |
Authors: | Suthep Suantai Yeol Je Cho Prasit Cholamjiak |
Authors: | Suthep Suantai Yeol Je Cho Prasit Cholamjiak |
Keywords: | Computer Science;Mathematics |
Issue Date: | 1-Aug-2012 |
Abstract: | 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. |
URI: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864287996&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51526 |
ISSN: | 08981221 |
Appears in Collections: | CMUL: Journal Articles |
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