Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings
<p/> <p>We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings <inline-formula><graphic file="1687-1812-2007-029091-i1.gif"/></inline-formula>. We show that the proposed iterat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2007/029091 |
| _version_ | 1818462118058393600 |
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| author | Yao Yonghong Chen Rudong Liou Yeong-Cheng |
| author_facet | Yao Yonghong Chen Rudong Liou Yeong-Cheng |
| author_sort | Yao Yonghong |
| collection | DOAJ |
| description | <p/> <p>We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings <inline-formula><graphic file="1687-1812-2007-029091-i1.gif"/></inline-formula>. We show that the proposed iteration scheme converges to the common fixed point <inline-formula><graphic file="1687-1812-2007-029091-i2.gif"/></inline-formula> which solves some variational inequality.</p> |
| first_indexed | 2024-12-14T23:56:57Z |
| format | Article |
| id | doaj.art-6d63942e241842648bb3b3d40ed9e6c0 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-14T23:56:57Z |
| publishDate | 2007-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-6d63942e241842648bb3b3d40ed9e6c02022-12-21T22:43:06ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-01-0120071029091Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive MappingsYao YonghongChen RudongLiou Yeong-Cheng<p/> <p>We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings <inline-formula><graphic file="1687-1812-2007-029091-i1.gif"/></inline-formula>. We show that the proposed iteration scheme converges to the common fixed point <inline-formula><graphic file="1687-1812-2007-029091-i2.gif"/></inline-formula> which solves some variational inequality.</p>http://www.fixedpointtheoryandapplications.com/content/2007/029091 |
| spellingShingle | Yao Yonghong Chen Rudong Liou Yeong-Cheng Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings Fixed Point Theory and Applications |
| title | Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings |
| title_full | Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings |
| title_fullStr | Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings |
| title_full_unstemmed | Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings |
| title_short | Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings |
| title_sort | iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings |
| url | http://www.fixedpointtheoryandapplications.com/content/2007/029091 |
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