A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces
<p/> <p>The purpose of this paper is to introduce a general iterative method for finding solutions of a general system of variational inclusions with Lipschitzian relaxed cocoercive mappings. Strong convergence theorems are established in strictly convex and 2-uniformly smooth Banach spa...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/190126 |
| id |
doaj-22e5e28217f9469fb30dee29d2901bfe |
|---|---|
| record_format |
Article |
| spelling |
doaj-22e5e28217f9469fb30dee29d2901bfe2020-11-25T02:14:54ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101190126A General Iterative Process for Solving a System of Variational Inclusions in Banach SpacesKamraksa UthaiWangkeeree Rabian<p/> <p>The purpose of this paper is to introduce a general iterative method for finding solutions of a general system of variational inclusions with Lipschitzian relaxed cocoercive mappings. Strong convergence theorems are established in strictly convex and 2-uniformly smooth Banach spaces. Moreover, we apply our result to the problem of finding a common fixed point of a countable family of strict pseudo-contraction mappings.</p>http://www.journalofinequalitiesandapplications.com/content/2010/190126 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kamraksa Uthai Wangkeeree Rabian |
| spellingShingle |
Kamraksa Uthai Wangkeeree Rabian A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces Journal of Inequalities and Applications |
| author_facet |
Kamraksa Uthai Wangkeeree Rabian |
| author_sort |
Kamraksa Uthai |
| title |
A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces |
| title_short |
A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces |
| title_full |
A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces |
| title_fullStr |
A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces |
| title_full_unstemmed |
A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces |
| title_sort |
general iterative process for solving a system of variational inclusions in banach spaces |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p/> <p>The purpose of this paper is to introduce a general iterative method for finding solutions of a general system of variational inclusions with Lipschitzian relaxed cocoercive mappings. Strong convergence theorems are established in strictly convex and 2-uniformly smooth Banach spaces. Moreover, we apply our result to the problem of finding a common fixed point of a countable family of strict pseudo-contraction mappings.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/190126 |
| work_keys_str_mv |
AT kamraksauthai ageneraliterativeprocessforsolvingasystemofvariationalinclusionsinbanachspaces AT wangkeereerabian ageneraliterativeprocessforsolvingasystemofvariationalinclusionsinbanachspaces AT kamraksauthai generaliterativeprocessforsolvingasystemofvariationalinclusionsinbanachspaces AT wangkeereerabian generaliterativeprocessforsolvingasystemofvariationalinclusionsinbanachspaces |
| _version_ |
1724898995407421440 |