Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-Pseudocontractions
Based on an original idea, namely, a specific way of choosing the indexes of the involved mappings, we propose a new hybrid shrinking iteration scheme for approximating some common fixed points of a countable family of asymptotically strictly quasi-ϕ-pseudocontractions and obtain a strong convergenc...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/752625 |
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doaj-277c81aa97c74c9a9e1f9691bd4203b92020-11-24T22:02:17ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/752625752625Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-PseudocontractionsWei-Qi Deng0College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, ChinaBased on an original idea, namely, a specific way of choosing the indexes of the involved mappings, we propose a new hybrid shrinking iteration scheme for approximating some common fixed points of a countable family of asymptotically strictly quasi-ϕ-pseudocontractions and obtain a strong convergence theorem in the framework of Banach space. Our result extends other authors, related results existing in the current literature. As application, an iterative solution to a system of equilibrium problems is provided.http://dx.doi.org/10.1155/2013/752625 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wei-Qi Deng |
| spellingShingle |
Wei-Qi Deng Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-Pseudocontractions Mathematical Problems in Engineering |
| author_facet |
Wei-Qi Deng |
| author_sort |
Wei-Qi Deng |
| title |
Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-Pseudocontractions |
| title_short |
Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-Pseudocontractions |
| title_full |
Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-Pseudocontractions |
| title_fullStr |
Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-Pseudocontractions |
| title_full_unstemmed |
Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi-ϕ-Pseudocontractions |
| title_sort |
strong convergence to common fixed points of a countable family of asymptotically strictly quasi-ϕ-pseudocontractions |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2013-01-01 |
| description |
Based on an original idea, namely, a specific way of choosing the indexes of the involved mappings, we propose a new hybrid shrinking iteration scheme for approximating some common fixed points of a countable family of asymptotically strictly quasi-ϕ-pseudocontractions and obtain a strong convergence theorem in the framework of Banach space. Our result extends other authors, related results existing in the current literature. As application, an iterative solution to a system of equilibrium problems is provided. |
| url |
http://dx.doi.org/10.1155/2013/752625 |
| work_keys_str_mv |
AT weiqideng strongconvergencetocommonfixedpointsofacountablefamilyofasymptoticallystrictlyquasiphpseudocontractions |
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