A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the set of solutions of generalized equilibrium problems. Some strong convergence results were...
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th-cmuir.6653943832-57692014-08-30T03:23:27Z A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings Cholamjiak P. Suantai S. We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the set of solutions of generalized equilibrium problems. Some strong convergence results were derived by using the concept of W-mappings for a finite family of quasi-nonexpansive mappings. Strong convergence results are derived under suitable conditions in Hilbert spaces. Copyright © 2009 P. Cholamjiak and S. Suantai. 2014-08-30T03:23:27Z 2014-08-30T03:23:27Z 2009 Article 16871820 10.1155/2009/350979 http://www.scopus.com/inward/record.url?eid=2-s2.0-70449699858&partnerID=40&md5=076c5d5b9bf1d5066d3030bb2c5ba00f http://cmuir.cmu.ac.th/handle/6653943832/5769 English |
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We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the set of solutions of generalized equilibrium problems. Some strong convergence results were derived by using the concept of W-mappings for a finite family of quasi-nonexpansive mappings. Strong convergence results are derived under suitable conditions in Hilbert spaces. Copyright © 2009 P. Cholamjiak and S. Suantai. |
| format |
Article |
| author |
Cholamjiak P. Suantai S. |
| spellingShingle |
Cholamjiak P. Suantai S. A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings |
| author_facet |
Cholamjiak P. Suantai S. |
| author_sort |
Cholamjiak P. |
| title |
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings |
| title_short |
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings |
| title_full |
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings |
| title_fullStr |
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings |
| title_full_unstemmed |
A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings |
| title_sort |
new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-70449699858&partnerID=40&md5=076c5d5b9bf1d5066d3030bb2c5ba00f http://cmuir.cmu.ac.th/handle/6653943832/5769 |
| _version_ |
1681420488122826752 |