Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings
<p/> <p>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 n...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2009/261932 |
| _version_ | 1818568360969895936 |
|---|---|
| author | Klin-eam Chakkrid Suantai Suthep |
| author_facet | Klin-eam Chakkrid Suantai Suthep |
| author_sort | Klin-eam Chakkrid |
| collection | DOAJ |
| description | <p/> <p>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.</p> |
| first_indexed | 2024-12-14T06:34:49Z |
| format | Article |
| id | doaj.art-47a33af219ae4711b59e411698539a28 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-14T06:34:49Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-47a33af219ae4711b59e411698539a282022-12-21T23:13:24ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-0120091261932Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive MappingsKlin-eam ChakkridSuantai Suthep<p/> <p>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.</p>http://www.fixedpointtheoryandapplications.com/content/2009/261932 |
| spellingShingle | Klin-eam Chakkrid Suantai Suthep Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings Fixed Point Theory and Applications |
| title | 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_short | 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 |
| url | http://www.fixedpointtheoryandapplications.com/content/2009/261932 |
| work_keys_str_mv | AT klineamchakkrid strongconvergenceofmonotonehybridmethodformaximalmonotoneoperatorsandhemirelativelynonexpansivemappings AT suantaisuthep strongconvergenceofmonotonehybridmethodformaximalmonotoneoperatorsandhemirelativelynonexpansivemappings |