Approximating fixed points of total asymptotically nonexpansive mappings
We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also conside...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-03-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/FPTA/2006/10673 |
| _version_ | 1818984193611268096 |
|---|---|
| author | H. Zegeye C. E. Chidume Ya. I. Alber |
| author_facet | H. Zegeye C. E. Chidume Ya. I. Alber |
| author_sort | H. Zegeye |
| collection | DOAJ |
| description | We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings. |
| first_indexed | 2024-12-20T18:15:07Z |
| format | Article |
| id | doaj.art-43e1e48bc82d4c67829b9a0cd29f97dd |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-20T18:15:07Z |
| publishDate | 2006-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-43e1e48bc82d4c67829b9a0cd29f97dd2022-12-21T19:30:24ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-03-01200610.1155/FPTA/2006/10673Approximating fixed points of total asymptotically nonexpansive mappingsH. ZegeyeC. E. ChidumeYa. I. AlberWe introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.http://dx.doi.org/10.1155/FPTA/2006/10673 |
| spellingShingle | H. Zegeye C. E. Chidume Ya. I. Alber Approximating fixed points of total asymptotically nonexpansive mappings Fixed Point Theory and Applications |
| title | Approximating fixed points of total asymptotically nonexpansive mappings |
| title_full | Approximating fixed points of total asymptotically nonexpansive mappings |
| title_fullStr | Approximating fixed points of total asymptotically nonexpansive mappings |
| title_full_unstemmed | Approximating fixed points of total asymptotically nonexpansive mappings |
| title_short | Approximating fixed points of total asymptotically nonexpansive mappings |
| title_sort | approximating fixed points of total asymptotically nonexpansive mappings |
| url | http://dx.doi.org/10.1155/FPTA/2006/10673 |
| work_keys_str_mv | AT hzegeye approximatingfixedpointsoftotalasymptoticallynonexpansivemappings AT cechidume approximatingfixedpointsoftotalasymptoticallynonexpansivemappings AT yaialber approximatingfixedpointsoftotalasymptoticallynonexpansivemappings |