A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2014
|
| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-71049194726&partnerID=40&md5=8a5c1a5d8cd0a774f44c87ad56f3ef34 http://cmuir.cmu.ac.th/handle/6653943832/5707 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Language: | English |
| id |
th-cmuir.6653943832-5707 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-57072014-08-30T03:23:21Z A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings Suantai S. Klin-Eam C. A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for the inverse-strongly monotone mapping which solves some variational inequalities. Moreover, we apply our main result to obtain strong convergence to a common fixed point of nonexpansive mapping and strictly pseudocontractive mapping in a Hilbert space. © 2009 C. Klin-eam and S. Suantai. 2014-08-30T03:23:21Z 2014-08-30T03:23:21Z 2009 Article 10255834 10.1155/2009/520301 http://www.scopus.com/inward/record.url?eid=2-s2.0-71049194726&partnerID=40&md5=8a5c1a5d8cd0a774f44c87ad56f3ef34 http://cmuir.cmu.ac.th/handle/6653943832/5707 English |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for the inverse-strongly monotone mapping which solves some variational inequalities. Moreover, we apply our main result to obtain strong convergence to a common fixed point of nonexpansive mapping and strictly pseudocontractive mapping in a Hilbert space. © 2009 C. Klin-eam and S. Suantai. |
| format |
Article |
| author |
Suantai S. Klin-Eam C. |
| spellingShingle |
Suantai S. Klin-Eam C. A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| author_facet |
Suantai S. Klin-Eam C. |
| author_sort |
Suantai S. |
| title |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_short |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_full |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_fullStr |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_full_unstemmed |
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| title_sort |
new approximation method for solving variational inequalities and fixed points of nonexpansive mappings |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-71049194726&partnerID=40&md5=8a5c1a5d8cd0a774f44c87ad56f3ef34 http://cmuir.cmu.ac.th/handle/6653943832/5707 |
| _version_ |
1681420476385067008 |