Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space
C is a bounded closed convex subset of a Hilbert space H, T and S:C→C are two asymptotically nonexpansive mappings such that ST=TS. We establish a strong convergence theorem for S and T in Hilbert space by hybrid method. The results generalize and unify many corresponding results.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/236269 |
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| _version_ | 1832564270274969600 |
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| author | Jianjun Liu Lili He Lei Deng |
| author_facet | Jianjun Liu Lili He Lei Deng |
| author_sort | Jianjun Liu |
| collection | DOAJ |
| description | C is a bounded closed convex subset of a Hilbert space H, T and S:C→C are two asymptotically nonexpansive mappings such that ST=TS. We establish a strong convergence theorem for S and T in Hilbert space by hybrid method. The results generalize and unify many corresponding results. |
| format | Article |
| id | doaj-art-7ff253ecc9ce4854a838ebe628faa08c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7ff253ecc9ce4854a838ebe628faa08c2025-02-03T01:11:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/236269236269Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert SpaceJianjun Liu0Lili He1Lei Deng2School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaC is a bounded closed convex subset of a Hilbert space H, T and S:C→C are two asymptotically nonexpansive mappings such that ST=TS. We establish a strong convergence theorem for S and T in Hilbert space by hybrid method. The results generalize and unify many corresponding results.http://dx.doi.org/10.1155/2008/236269 |
| spellingShingle | Jianjun Liu Lili He Lei Deng Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space International Journal of Mathematics and Mathematical Sciences |
| title | Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space |
| title_full | Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space |
| title_fullStr | Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space |
| title_full_unstemmed | Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space |
| title_short | Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space |
| title_sort | strong convergence theorem for two commutative asymptotically nonexpansive mappings in hilbert space |
| url | http://dx.doi.org/10.1155/2008/236269 |
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