Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces
An explicit projection algorithm with viscosity technique is constructed for finding the fixed points of the pseudocontractive mapping in Hilbert spaces. Strong convergence theorem is demonstrated. Consequently, as an application, we can approximate to the minimum-norm fixed point of the pseudocontr...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/791209 |
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| author | Xiujuan Pan Shin Min Kang Young Chel Kwun |
| author_facet | Xiujuan Pan Shin Min Kang Young Chel Kwun |
| author_sort | Xiujuan Pan |
| collection | DOAJ |
| description | An explicit projection algorithm with viscosity technique is constructed for finding the fixed points of the pseudocontractive mapping in Hilbert spaces. Strong convergence theorem is demonstrated. Consequently, as an application, we can approximate to the minimum-norm fixed point of the pseudocontractive mapping. |
| format | Article |
| id | doaj-art-265023f6b44542a88571db42fd50929a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-265023f6b44542a88571db42fd50929a2025-02-03T01:29:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/791209791209Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert SpacesXiujuan Pan0Shin Min Kang1Young Chel Kwun2School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Mathematics and the RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Dong-A University, Busan 614-714, Republic of KoreaAn explicit projection algorithm with viscosity technique is constructed for finding the fixed points of the pseudocontractive mapping in Hilbert spaces. Strong convergence theorem is demonstrated. Consequently, as an application, we can approximate to the minimum-norm fixed point of the pseudocontractive mapping.http://dx.doi.org/10.1155/2014/791209 |
| spellingShingle | Xiujuan Pan Shin Min Kang Young Chel Kwun Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces Abstract and Applied Analysis |
| title | Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces |
| title_full | Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces |
| title_fullStr | Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces |
| title_full_unstemmed | Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces |
| title_short | Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces |
| title_sort | viscosity projection algorithms for pseudocontractive mappings in hilbert spaces |
| url | http://dx.doi.org/10.1155/2014/791209 |
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