Convergence theorems for I-nonexpansive mapping
We establish the weak convergence of a sequence of Mann iterates of an I-nonexpansive map in a Banach space which satisfies Opial's condition.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/63435 |
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| _version_ | 1832558756346462208 |
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| author | B. E. Rhoades Seyit Temir |
| author_facet | B. E. Rhoades Seyit Temir |
| author_sort | B. E. Rhoades |
| collection | DOAJ |
| description | We establish the weak convergence of a sequence of Mann iterates
of an I-nonexpansive map
in a Banach space which satisfies Opial's condition. |
| format | Article |
| id | doaj-art-d46531d5a8e54570bd971a0a118ebb4f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d46531d5a8e54570bd971a0a118ebb4f2025-02-03T01:31:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/6343563435Convergence theorems for I-nonexpansive mappingB. E. Rhoades0Seyit Temir1Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USADepartment of Mathematics, Art and Science Faculty, Harran University, Sanliurfa 63200, TurkeyWe establish the weak convergence of a sequence of Mann iterates of an I-nonexpansive map in a Banach space which satisfies Opial's condition.http://dx.doi.org/10.1155/IJMMS/2006/63435 |
| spellingShingle | B. E. Rhoades Seyit Temir Convergence theorems for I-nonexpansive mapping International Journal of Mathematics and Mathematical Sciences |
| title | Convergence theorems for I-nonexpansive mapping |
| title_full | Convergence theorems for I-nonexpansive mapping |
| title_fullStr | Convergence theorems for I-nonexpansive mapping |
| title_full_unstemmed | Convergence theorems for I-nonexpansive mapping |
| title_short | Convergence theorems for I-nonexpansive mapping |
| title_sort | convergence theorems for i nonexpansive mapping |
| url | http://dx.doi.org/10.1155/IJMMS/2006/63435 |
| work_keys_str_mv | AT berhoades convergencetheoremsforinonexpansivemapping AT seyittemir convergencetheoremsforinonexpansivemapping |