On Convergence Results for Lipschitz Pseudocontractive Mappings
We establish the strong convergence for the Ishikawa iteration scheme associated with Lipschitz pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/902601 |
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| _version_ | 1832565145950224384 |
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| author | Shin Min Kang Arif Rafiq |
| author_facet | Shin Min Kang Arif Rafiq |
| author_sort | Shin Min Kang |
| collection | DOAJ |
| description | We establish the strong convergence for the Ishikawa iteration scheme associated with Lipschitz pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest. |
| format | Article |
| id | doaj-art-1a7207f937404a86b65288317f0c0591 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1a7207f937404a86b65288317f0c05912025-02-03T01:09:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/902601902601On Convergence Results for Lipschitz Pseudocontractive MappingsShin Min Kang0Arif Rafiq1Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, Republic of KoreaHajvery University, 43-52 Industrial Area, Gulberg-III, Lahore, PakistanWe establish the strong convergence for the Ishikawa iteration scheme associated with Lipschitz pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest.http://dx.doi.org/10.1155/2012/902601 |
| spellingShingle | Shin Min Kang Arif Rafiq On Convergence Results for Lipschitz Pseudocontractive Mappings Journal of Applied Mathematics |
| title | On Convergence Results for Lipschitz Pseudocontractive Mappings |
| title_full | On Convergence Results for Lipschitz Pseudocontractive Mappings |
| title_fullStr | On Convergence Results for Lipschitz Pseudocontractive Mappings |
| title_full_unstemmed | On Convergence Results for Lipschitz Pseudocontractive Mappings |
| title_short | On Convergence Results for Lipschitz Pseudocontractive Mappings |
| title_sort | on convergence results for lipschitz pseudocontractive mappings |
| url | http://dx.doi.org/10.1155/2012/902601 |
| work_keys_str_mv | AT shinminkang onconvergenceresultsforlipschitzpseudocontractivemappings AT arifrafiq onconvergenceresultsforlipschitzpseudocontractivemappings |