Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces
<p/> <p>We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).</p>
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2007/061434 |
| id |
doaj-fea2f53952e345af97c7385f0020a119 |
|---|---|
| record_format |
Article |
| spelling |
doaj-fea2f53952e345af97c7385f0020a1192020-11-24T21:47:10ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-01-0120071061434Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed SpacesZhiqun Xue<p/> <p>We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).</p> http://www.fixedpointtheoryandapplications.com/content/2007/061434 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhiqun Xue |
| spellingShingle |
Zhiqun Xue Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces Fixed Point Theory and Applications |
| author_facet |
Zhiqun Xue |
| author_sort |
Zhiqun Xue |
| title |
Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces |
| title_short |
Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces |
| title_full |
Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces |
| title_fullStr |
Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces |
| title_full_unstemmed |
Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces |
| title_sort |
remarks of equivalence among picard, mann, and ishikawa iterations in normed spaces |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2007-01-01 |
| description |
<p/> <p>We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).</p> |
| url |
http://www.fixedpointtheoryandapplications.com/content/2007/061434 |
| work_keys_str_mv |
AT zhiqunxue remarksofequivalenceamongpicardmannandishikawaiterationsinnormedspaces |
| _version_ |
1716650237534142464 |