Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces
We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir-Keeler-type contraction in a Banach space. Then we prove the strong convergence for the implicit and explicit iterative schemes. Our results extend and improve some recent ones in lit...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/720192 |
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| _version_ | 1850237779830636544 |
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| author | Jiancai Huang Shenghua Wang Yeol Je Cho |
| author_facet | Jiancai Huang Shenghua Wang Yeol Je Cho |
| author_sort | Jiancai Huang |
| collection | DOAJ |
| description | We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir-Keeler-type contraction in a Banach space. Then we prove the strong convergence for the implicit and explicit iterative schemes. Our results extend and improve some recent ones in literatures. |
| format | Article |
| id | doaj-art-13b5084b611e46afb6c647bb89a6b295 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-13b5084b611e46afb6c647bb89a6b2952025-08-20T02:01:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/720192720192Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach SpacesJiancai Huang0Shenghua Wang1Yeol Je Cho2School of Control and Computer Engineering, North China Electric Power University, Baoding 071003, ChinaSchool of Mathematics and Physics, North China Electric Power University, Baoding 071003, ChinaDepartment of Mathematics Education and the RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaWe introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir-Keeler-type contraction in a Banach space. Then we prove the strong convergence for the implicit and explicit iterative schemes. Our results extend and improve some recent ones in literatures.http://dx.doi.org/10.1155/2012/720192 |
| spellingShingle | Jiancai Huang Shenghua Wang Yeol Je Cho Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces Journal of Applied Mathematics |
| title | Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces |
| title_full | Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces |
| title_fullStr | Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces |
| title_full_unstemmed | Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces |
| title_short | Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces |
| title_sort | implicit and explicit iterations with meir keeler type contraction for a finite family of nonexpansive semigroups in banach spaces |
| url | http://dx.doi.org/10.1155/2012/720192 |
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