On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces
This paper is concerned with a common element of the set of common fixed points for two infinite families of strictly pseudocontractive mappings and the set of solutions of a system of cocoercive quasivariational inclusions problems in Hilbert spaces. The strong convergence theorem for the above two...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/691839 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553410688188416 |
|---|---|
| author | Pattanapong Tianchai |
| author_facet | Pattanapong Tianchai |
| author_sort | Pattanapong Tianchai |
| collection | DOAJ |
| description | This paper is concerned with a common element of the set of common fixed points for two infinite families of strictly pseudocontractive mappings and the set of solutions of a system of cocoercive quasivariational inclusions problems in Hilbert spaces. The strong convergence theorem for the above two sets is obtained by a novel general iterative scheme based on the viscosity approximation method, and applicability of the results has shown difference with the results of many others existing in the current literature. |
| format | Article |
| id | doaj-art-92491d6e33534a5eaa18ff55668d2ca8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-92491d6e33534a5eaa18ff55668d2ca82025-02-03T05:53:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/691839691839On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert SpacesPattanapong Tianchai0Faculty of Science, Maejo University, Chiangmai 50290, ThailandThis paper is concerned with a common element of the set of common fixed points for two infinite families of strictly pseudocontractive mappings and the set of solutions of a system of cocoercive quasivariational inclusions problems in Hilbert spaces. The strong convergence theorem for the above two sets is obtained by a novel general iterative scheme based on the viscosity approximation method, and applicability of the results has shown difference with the results of many others existing in the current literature.http://dx.doi.org/10.1155/2011/691839 |
| spellingShingle | Pattanapong Tianchai On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces International Journal of Mathematics and Mathematical Sciences |
| title | On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces |
| title_full | On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces |
| title_fullStr | On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces |
| title_full_unstemmed | On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces |
| title_short | On Common Solutions for Fixed-Point Problems of Two Infinite Families of Strictly Pseudocontractive Mappings and the System of Cocoercive Quasivariational Inclusions Problems in Hilbert Spaces |
| title_sort | on common solutions for fixed point problems of two infinite families of strictly pseudocontractive mappings and the system of cocoercive quasivariational inclusions problems in hilbert spaces |
| url | http://dx.doi.org/10.1155/2011/691839 |
| work_keys_str_mv | AT pattanapongtianchai oncommonsolutionsforfixedpointproblemsoftwoinfinitefamiliesofstrictlypseudocontractivemappingsandthesystemofcocoercivequasivariationalinclusionsproblemsinhilbertspaces |