Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups
The purpose of this paper is to give a new modified Ishikawa type iteration algorithm for common fixed points of total asymptotically strict pseudocontractive semigroups. Under the reduction of some conditions, both strong convergence and weak convergence of the iteration algorithm are proved in Ban...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/319241 |
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| _version_ | 1832554496452984832 |
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| author | Yuanheng Wang Chunjie Wang |
| author_facet | Yuanheng Wang Chunjie Wang |
| author_sort | Yuanheng Wang |
| collection | DOAJ |
| description | The purpose of this paper is to give a new modified Ishikawa type iteration algorithm
for common fixed points of total asymptotically strict pseudocontractive semigroups. Under the reduction of some conditions, both strong convergence and weak convergence of the
iteration algorithm are proved in Banach spaces with new methods of proofs, respectively.
The main results presented in this paper extend and improve the corresponding recent
results of many others. |
| format | Article |
| id | doaj-art-68a1cc87c4ed43bbbd5b0e57bddaff03 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-68a1cc87c4ed43bbbd5b0e57bddaff032025-02-03T05:51:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/319241319241Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive SemigroupsYuanheng Wang0Chunjie Wang1Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaThe purpose of this paper is to give a new modified Ishikawa type iteration algorithm for common fixed points of total asymptotically strict pseudocontractive semigroups. Under the reduction of some conditions, both strong convergence and weak convergence of the iteration algorithm are proved in Banach spaces with new methods of proofs, respectively. The main results presented in this paper extend and improve the corresponding recent results of many others.http://dx.doi.org/10.1155/2013/319241 |
| spellingShingle | Yuanheng Wang Chunjie Wang Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups Abstract and Applied Analysis |
| title | Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups |
| title_full | Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups |
| title_fullStr | Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups |
| title_full_unstemmed | Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups |
| title_short | Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups |
| title_sort | convergence of a new modified ishikawa type iteration for common fixed points of total asymptotically strict pseudocontractive semigroups |
| url | http://dx.doi.org/10.1155/2013/319241 |
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