Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators
Suppose that X is an arbitrary real Banach space and T:X→X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202112257 |
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| _version_ | 1832550373350440960 |
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| author | Zeqing Liu Lili Zhang Shin Min Kang |
| author_facet | Zeqing Liu Lili Zhang Shin Min Kang |
| author_sort | Zeqing Liu |
| collection | DOAJ |
| description | Suppose that X is an arbitrary real Banach space and T:X→X is a Lipschitz strongly pseudocontractive operator.
It is proved that under certain conditions the Ishikawa iterative
method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T. |
| format | Article |
| id | doaj-art-bcb8525a616e41b983957aac2671760f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bcb8525a616e41b983957aac2671760f2025-02-03T06:07:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01311061161710.1155/S0161171202112257Convergence theorems and stability results for Lipschitz strongly pseudocontractive operatorsZeqing Liu0Lili Zhang1Shin Min Kang2Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, ChinaDepartment of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, ChinaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, KoreaSuppose that X is an arbitrary real Banach space and T:X→X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.http://dx.doi.org/10.1155/S0161171202112257 |
| spellingShingle | Zeqing Liu Lili Zhang Shin Min Kang Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators International Journal of Mathematics and Mathematical Sciences |
| title | Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators |
| title_full | Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators |
| title_fullStr | Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators |
| title_full_unstemmed | Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators |
| title_short | Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators |
| title_sort | convergence theorems and stability results for lipschitz strongly pseudocontractive operators |
| url | http://dx.doi.org/10.1155/S0161171202112257 |
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