Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results,...
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th-cmuir.6653943832-65552014-08-30T03:24:20Z Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces Klin-Eam C. Suantai S. Takahashi W. In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces. 2014-08-30T03:24:20Z 2014-08-30T03:24:20Z 2011 Article 10275487 http://www.scopus.com/inward/record.url?eid=2-s2.0-79958147738&partnerID=40&md5=38ef6a33dc477a807f2ba1d42ae8d737 http://cmuir.cmu.ac.th/handle/6653943832/6555 English |
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In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces. |
| format |
Article |
| author |
Klin-Eam C. Suantai S. Takahashi W. |
| spellingShingle |
Klin-Eam C. Suantai S. Takahashi W. Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces |
| author_facet |
Klin-Eam C. Suantai S. Takahashi W. |
| author_sort |
Klin-Eam C. |
| title |
Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces |
| title_short |
Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces |
| title_full |
Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces |
| title_fullStr |
Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces |
| title_full_unstemmed |
Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces |
| title_sort |
generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-79958147738&partnerID=40&md5=38ef6a33dc477a807f2ba1d42ae8d737 http://cmuir.cmu.ac.th/handle/6653943832/6555 |
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1681420635773861888 |