Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings
We are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous. As an application, we also obtain a new method for solv...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/9610257 |
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| _version_ | 1832550658463498240 |
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| author | Huanhuan Cui Luchuan Ceng Fenghui Wang |
| author_facet | Huanhuan Cui Luchuan Ceng Fenghui Wang |
| author_sort | Huanhuan Cui |
| collection | DOAJ |
| description | We are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous. As an application, we also obtain a new method for solving the split equality problem in Hilbert spaces. |
| format | Article |
| id | doaj-art-d2cdb434c862422ca71656f0ea5d94b9 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d2cdb434c862422ca71656f0ea5d94b92025-02-03T06:06:12ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/96102579610257Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous MappingsHuanhuan Cui0Luchuan Ceng1Fenghui Wang2Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Luoyang Normal University, Luoyang 471022, ChinaWe are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous. As an application, we also obtain a new method for solving the split equality problem in Hilbert spaces.http://dx.doi.org/10.1155/2018/9610257 |
| spellingShingle | Huanhuan Cui Luchuan Ceng Fenghui Wang Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings Journal of Function Spaces |
| title | Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings |
| title_full | Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings |
| title_fullStr | Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings |
| title_full_unstemmed | Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings |
| title_short | Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings |
| title_sort | weak convergence theorems on the split common fixed point problem for demicontractive continuous mappings |
| url | http://dx.doi.org/10.1155/2018/9610257 |
| work_keys_str_mv | AT huanhuancui weakconvergencetheoremsonthesplitcommonfixedpointproblemfordemicontractivecontinuousmappings AT luchuanceng weakconvergencetheoremsonthesplitcommonfixedpointproblemfordemicontractivecontinuousmappings AT fenghuiwang weakconvergencetheoremsonthesplitcommonfixedpointproblemfordemicontractivecontinuousmappings |