Fixed point theorems for some new nonlinear mappings in Hilbert spaces
<p>Abstract</p> <p>In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Fixed Point Theory and Applications |
| Subjects: | |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/1/51 |
| _version_ | 1828940524404342784 |
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| author | Yu Zenn-Tsun Lin Lai-Jiu Chuang Chih-Sheng |
| author_facet | Yu Zenn-Tsun Lin Lai-Jiu Chuang Chih-Sheng |
| author_sort | Yu Zenn-Tsun |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems, ergodic theorems, demiclosed principles, and Ray's type theorem for these nonlinear mappings.</p> <p>Next, we prove weak convergence theorems for Moudafi's iteration process for these nonlinear mappings. Finally, we give some important examples for these new nonlinear mappings.</p> |
| first_indexed | 2024-12-14T03:20:57Z |
| format | Article |
| id | doaj.art-91e3a2b9ee3f4098a4906df4f27e9799 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-14T03:20:57Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-91e3a2b9ee3f4098a4906df4f27e97992022-12-21T23:19:02ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011151Fixed point theorems for some new nonlinear mappings in Hilbert spacesYu Zenn-TsunLin Lai-JiuChuang Chih-Sheng<p>Abstract</p> <p>In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems, ergodic theorems, demiclosed principles, and Ray's type theorem for these nonlinear mappings.</p> <p>Next, we prove weak convergence theorems for Moudafi's iteration process for these nonlinear mappings. Finally, we give some important examples for these new nonlinear mappings.</p>http://www.fixedpointtheoryandapplications.com/content/2011/1/51nonspreading mappingfixed pointdemiclosed principleergodic theoremnonexpansive mapping |
| spellingShingle | Yu Zenn-Tsun Lin Lai-Jiu Chuang Chih-Sheng Fixed point theorems for some new nonlinear mappings in Hilbert spaces Fixed Point Theory and Applications nonspreading mapping fixed point demiclosed principle ergodic theorem nonexpansive mapping |
| title | Fixed point theorems for some new nonlinear mappings in Hilbert spaces |
| title_full | Fixed point theorems for some new nonlinear mappings in Hilbert spaces |
| title_fullStr | Fixed point theorems for some new nonlinear mappings in Hilbert spaces |
| title_full_unstemmed | Fixed point theorems for some new nonlinear mappings in Hilbert spaces |
| title_short | Fixed point theorems for some new nonlinear mappings in Hilbert spaces |
| title_sort | fixed point theorems for some new nonlinear mappings in hilbert spaces |
| topic | nonspreading mapping fixed point demiclosed principle ergodic theorem nonexpansive mapping |
| url | http://www.fixedpointtheoryandapplications.com/content/2011/1/51 |
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