Strong Convergence Theorems for Solutions of Equations of Hammerstein Type
We consider an auxiliary operator, defined in a real Hilbert space in terms of and , that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). We use an explicit iterative process that converges strongly to a solution of equation of Hammerstein type. Furthermore, our results...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/541079 |
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| _version_ | 1832554811071922176 |
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| author | Chih-Sheng Chuang |
| author_facet | Chih-Sheng Chuang |
| author_sort | Chih-Sheng Chuang |
| collection | DOAJ |
| description | We consider an auxiliary operator, defined in a real Hilbert space in terms of and , that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). We use an explicit iterative process that converges strongly to a solution of equation of Hammerstein type. Furthermore, our results improve related results in the literature. |
| format | Article |
| id | doaj-art-a7b53bd6939f431da4b1e58b64cb44ad |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a7b53bd6939f431da4b1e58b64cb44ad2025-02-03T05:50:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/541079541079Strong Convergence Theorems for Solutions of Equations of Hammerstein TypeChih-Sheng Chuang0Department of Mathematics, National Cheng Kung University, Tainan 701, TaiwanWe consider an auxiliary operator, defined in a real Hilbert space in terms of and , that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). We use an explicit iterative process that converges strongly to a solution of equation of Hammerstein type. Furthermore, our results improve related results in the literature.http://dx.doi.org/10.1155/2013/541079 |
| spellingShingle | Chih-Sheng Chuang Strong Convergence Theorems for Solutions of Equations of Hammerstein Type Journal of Applied Mathematics |
| title | Strong Convergence Theorems for Solutions of Equations of Hammerstein Type |
| title_full | Strong Convergence Theorems for Solutions of Equations of Hammerstein Type |
| title_fullStr | Strong Convergence Theorems for Solutions of Equations of Hammerstein Type |
| title_full_unstemmed | Strong Convergence Theorems for Solutions of Equations of Hammerstein Type |
| title_short | Strong Convergence Theorems for Solutions of Equations of Hammerstein Type |
| title_sort | strong convergence theorems for solutions of equations of hammerstein type |
| url | http://dx.doi.org/10.1155/2013/541079 |
| work_keys_str_mv | AT chihshengchuang strongconvergencetheoremsforsolutionsofequationsofhammersteintype |