Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces
We prove a strong convergence theorem by using a hybrid algorithm in order to find a common fixed point of Lipschitz pseudocontraction and κ-strict pseudocontraction in Hilbert spaces. Our results extend the recent ones announced by Yao et al. (2009) and many others.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/530683 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566872280662016 |
|---|---|
| author | Kasamsuk Ungchittrakool |
| author_facet | Kasamsuk Ungchittrakool |
| author_sort | Kasamsuk Ungchittrakool |
| collection | DOAJ |
| description | We prove a strong convergence theorem by using a hybrid algorithm in order to find a common
fixed point of Lipschitz pseudocontraction and κ-strict pseudocontraction in Hilbert spaces. Our results extend the
recent ones announced by Yao et al. (2009) and many others. |
| format | Article |
| id | doaj-art-c890d175143a4646915ef0e4b5012b62 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c890d175143a4646915ef0e4b5012b622025-02-03T01:02:57ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/530683530683Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert SpacesKasamsuk Ungchittrakool0Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandWe prove a strong convergence theorem by using a hybrid algorithm in order to find a common fixed point of Lipschitz pseudocontraction and κ-strict pseudocontraction in Hilbert spaces. Our results extend the recent ones announced by Yao et al. (2009) and many others.http://dx.doi.org/10.1155/2011/530683 |
| spellingShingle | Kasamsuk Ungchittrakool Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces Abstract and Applied Analysis |
| title | Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces |
| title_full | Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces |
| title_fullStr | Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces |
| title_full_unstemmed | Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces |
| title_short | Strong Convergence by a Hybrid Algorithm for Finding a Common Fixed Point of Lipschitz Pseudocontraction and Strict Pseudocontraction in Hilbert Spaces |
| title_sort | strong convergence by a hybrid algorithm for finding a common fixed point of lipschitz pseudocontraction and strict pseudocontraction in hilbert spaces |
| url | http://dx.doi.org/10.1155/2011/530683 |
| work_keys_str_mv | AT kasamsukungchittrakool strongconvergencebyahybridalgorithmforfindingacommonfixedpointoflipschitzpseudocontractionandstrictpseudocontractioninhilbertspaces |