Strong convergence theorem for a new general system of variational inequalities in Banach spaces
We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for find...
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th-cmuir.6653943832-61622014-08-30T03:23:54Z Strong convergence theorem for a new general system of variational inequalities in Banach spaces Suantai S. Imnang S. We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for finding a solution of the system of variational inequalities in Banach spaces. Our main result extends a recent result acheived by Yao, Noor, Noor, Liou, and Yaqoob. Copyright © 2010 S. Imnang and S. Suantai. 2014-08-30T03:23:54Z 2014-08-30T03:23:54Z 2010 Article 16871820 10.1155/2010/246808 http://www.scopus.com/inward/record.url?eid=2-s2.0-79952124293&partnerID=40&md5=14f45173d577ab33b5a5b94e20a16bb5 http://cmuir.cmu.ac.th/handle/6653943832/6162 English |
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We introduce a new system of general variational inequalities in Banach spaces. The equivalence between this system of variational inequalities and fixed point problems concerning the nonexpansive mapping is established. By using this equivalent formulation, we introduce an iterative scheme for finding a solution of the system of variational inequalities in Banach spaces. Our main result extends a recent result acheived by Yao, Noor, Noor, Liou, and Yaqoob. Copyright © 2010 S. Imnang and S. Suantai. |
| format |
Article |
| author |
Suantai S. Imnang S. |
| spellingShingle |
Suantai S. Imnang S. Strong convergence theorem for a new general system of variational inequalities in Banach spaces |
| author_facet |
Suantai S. Imnang S. |
| author_sort |
Suantai S. |
| title |
Strong convergence theorem for a new general system of variational inequalities in Banach spaces |
| title_short |
Strong convergence theorem for a new general system of variational inequalities in Banach spaces |
| title_full |
Strong convergence theorem for a new general system of variational inequalities in Banach spaces |
| title_fullStr |
Strong convergence theorem for a new general system of variational inequalities in Banach spaces |
| title_full_unstemmed |
Strong convergence theorem for a new general system of variational inequalities in Banach spaces |
| title_sort |
strong convergence theorem for a new general system of variational inequalities in banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-79952124293&partnerID=40&md5=14f45173d577ab33b5a5b94e20a16bb5 http://cmuir.cmu.ac.th/handle/6653943832/6162 |
| _version_ |
1681420561995005952 |