Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence resul...
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th-cmuir.6653943832-57702014-08-30T03:23:27Z Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings Klin-eam C. Suantai S. We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Banach space. Copyright © 2009 C. Klin-eam and S. Suantai. 2014-08-30T03:23:27Z 2014-08-30T03:23:27Z 2009 Article 16871820 10.1155/2009/261932 http://www.scopus.com/inward/record.url?eid=2-s2.0-70449701669&partnerID=40&md5=c3bb0725d0d49593808715c483866bda http://cmuir.cmu.ac.th/handle/6653943832/5770 English |
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We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Banach space. Copyright © 2009 C. Klin-eam and S. Suantai. |
| format |
Article |
| author |
Klin-eam C. Suantai S. |
| spellingShingle |
Klin-eam C. Suantai S. Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings |
| author_facet |
Klin-eam C. Suantai S. |
| author_sort |
Klin-eam C. |
| title |
Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings |
| title_short |
Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings |
| title_full |
Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings |
| title_fullStr |
Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings |
| title_full_unstemmed |
Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings |
| title_sort |
strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-70449701669&partnerID=40&md5=c3bb0725d0d49593808715c483866bda http://cmuir.cmu.ac.th/handle/6653943832/5770 |
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