Iterative Schemes for Fixed Point Computation of Nonexpansive Mappings
Fixed point (especially, the minimum norm fixed point) computation is an interesting topic due to its practical applications in natural science. The purpose of the paper is devoted to finding the common fixed points of an infinite family of nonexpansive mappings. We introduce an iterative algorithm...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/469270 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549036229394432 |
|---|---|
| author | Rudong Chen |
| author_facet | Rudong Chen |
| author_sort | Rudong Chen |
| collection | DOAJ |
| description | Fixed point (especially, the minimum norm fixed point) computation is an interesting
topic due to its practical applications in natural science. The purpose of the
paper is devoted to finding the common fixed points of an infinite family of nonexpansive
mappings. We introduce an iterative algorithm and prove that suggested scheme
converges strongly to the common fixed points of an infinite family of nonexpansive
mappings under some mild conditions. As a special case, we can find the minimum
norm common fixed point of an infinite family of nonexpansive mappings. |
| format | Article |
| id | doaj-art-6d1ee7e339f34e1b8b2381655f56c642 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6d1ee7e339f34e1b8b2381655f56c6422025-02-03T06:12:22ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/469270469270Iterative Schemes for Fixed Point Computation of Nonexpansive MappingsRudong Chen0Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaFixed point (especially, the minimum norm fixed point) computation is an interesting topic due to its practical applications in natural science. The purpose of the paper is devoted to finding the common fixed points of an infinite family of nonexpansive mappings. We introduce an iterative algorithm and prove that suggested scheme converges strongly to the common fixed points of an infinite family of nonexpansive mappings under some mild conditions. As a special case, we can find the minimum norm common fixed point of an infinite family of nonexpansive mappings.http://dx.doi.org/10.1155/2012/469270 |
| spellingShingle | Rudong Chen Iterative Schemes for Fixed Point Computation of Nonexpansive Mappings Abstract and Applied Analysis |
| title | Iterative Schemes for Fixed Point Computation of
Nonexpansive Mappings |
| title_full | Iterative Schemes for Fixed Point Computation of
Nonexpansive Mappings |
| title_fullStr | Iterative Schemes for Fixed Point Computation of
Nonexpansive Mappings |
| title_full_unstemmed | Iterative Schemes for Fixed Point Computation of
Nonexpansive Mappings |
| title_short | Iterative Schemes for Fixed Point Computation of
Nonexpansive Mappings |
| title_sort | iterative schemes for fixed point computation of nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2012/469270 |
| work_keys_str_mv | AT rudongchen iterativeschemesforfixedpointcomputationofnonexpansivemappings |