Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem
We introduce the generalized split common fixed point problem (GSCFPP) and show that the GSCFPP for nonexpansive operators is equivalent to the common fixed point problem. Moreover, we introduce a new iterative algorithm for finding a solution of the GSCFPP and obtain some strong convergence theorem...
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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/10.1155/2012/575014 |
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| _version_ | 1832558254155104256 |
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| author | Cuijie Zhang |
| author_facet | Cuijie Zhang |
| author_sort | Cuijie Zhang |
| collection | DOAJ |
| description | We introduce the generalized split common fixed point problem (GSCFPP) and show that the GSCFPP for nonexpansive operators is equivalent to the common fixed point problem. Moreover, we introduce a new iterative algorithm for finding a solution of the GSCFPP and obtain some strong convergence theorems under suitable assumptions. |
| format | Article |
| id | doaj-art-7fe99a33f54b4621b373f2692c72da83 |
| 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-7fe99a33f54b4621b373f2692c72da832025-02-03T01:32:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/575014575014Strong Convergence Theorems for the Generalized Split Common Fixed Point ProblemCuijie Zhang0College of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe introduce the generalized split common fixed point problem (GSCFPP) and show that the GSCFPP for nonexpansive operators is equivalent to the common fixed point problem. Moreover, we introduce a new iterative algorithm for finding a solution of the GSCFPP and obtain some strong convergence theorems under suitable assumptions.http://dx.doi.org/10.1155/2012/575014 |
| spellingShingle | Cuijie Zhang Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem Journal of Applied Mathematics |
| title | Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem |
| title_full | Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem |
| title_fullStr | Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem |
| title_full_unstemmed | Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem |
| title_short | Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem |
| title_sort | strong convergence theorems for the generalized split common fixed point problem |
| url | http://dx.doi.org/10.1155/2012/575014 |
| work_keys_str_mv | AT cuijiezhang strongconvergencetheoremsforthegeneralizedsplitcommonfixedpointproblem |