Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings
We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings {Ti}i=1N. We show that the proposed iteration scheme converges to the common fixed point x*∈ ⋂i=1NFix(Ti) which solves some variational inequality....
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-03-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/29091 |
| _version_ | 1818858167864393728 |
|---|---|
| author | Yeong-Cheng Liou Yonghong Yao Rudong Chen |
| author_facet | Yeong-Cheng Liou Yonghong Yao Rudong Chen |
| author_sort | Yeong-Cheng Liou |
| collection | DOAJ |
| description | We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings {Ti}i=1N. We show that the proposed iteration scheme converges to the common fixed point x*∈ ⋂i=1NFix(Ti) which solves some variational inequality. |
| first_indexed | 2024-12-19T08:51:59Z |
| format | Article |
| id | doaj.art-89717d82842a4e258c8d8618d65a5304 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-19T08:51:59Z |
| publishDate | 2007-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-89717d82842a4e258c8d8618d65a53042022-12-21T20:28:42ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-03-01200710.1155/2007/29091Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive MappingsYeong-Cheng LiouYonghong YaoRudong ChenWe propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings {Ti}i=1N. We show that the proposed iteration scheme converges to the common fixed point x*∈ ⋂i=1NFix(Ti) which solves some variational inequality.http://dx.doi.org/10.1155/2007/29091 |
| spellingShingle | Yeong-Cheng Liou Yonghong Yao Rudong Chen 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://dx.doi.org/10.1155/2007/29091 |
| work_keys_str_mv | AT yeongchengliou iterationschemewithperturbedmappingforcommonfixedpointsofafinitefamilyofnonexpansivemappings AT yonghongyao iterationschemewithperturbedmappingforcommonfixedpointsofafinitefamilyofnonexpansivemappings AT rudongchen iterationschemewithperturbedmappingforcommonfixedpointsofafinitefamilyofnonexpansivemappings |