Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces
© 2016 Academic Publications, Ltd. In this paper, we introduce an iterative method to approximate a common solution of a new general system of variational inequalities, a mixed equilibrium problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the iterativ...
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th-cmuir.6653943832-425192017-09-28T04:27:33Z Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces Imnang S. Kaewong T. Suantai S. © 2016 Academic Publications, Ltd. In this paper, we introduce an iterative method to approximate a common solution of a new general system of variational inequalities, a mixed equilibrium problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the iterative sequence converges strongly to a common solution of the three problems in the framework of Hilbert spaces. Our main results extend and improve some results in the literature. 2017-09-28T04:27:33Z 2017-09-28T04:27:33Z 2016-01-01 Journal 13118080 2-s2.0-84994714136 10.12732/ijpam.v110i1.18 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994714136&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42519 |
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© 2016 Academic Publications, Ltd. In this paper, we introduce an iterative method to approximate a common solution of a new general system of variational inequalities, a mixed equilibrium problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the iterative sequence converges strongly to a common solution of the three problems in the framework of Hilbert spaces. Our main results extend and improve some results in the literature. |
| format |
Journal |
| author |
Imnang S. Kaewong T. Suantai S. |
| spellingShingle |
Imnang S. Kaewong T. Suantai S. Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces |
| author_facet |
Imnang S. Kaewong T. Suantai S. |
| author_sort |
Imnang S. |
| title |
Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces |
| title_short |
Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces |
| title_full |
Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces |
| title_fullStr |
Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces |
| title_full_unstemmed |
Iterative algorithm for solving the new system of generalized variational inequalities in Hilbert spaces |
| title_sort |
iterative algorithm for solving the new system of generalized variational inequalities in hilbert spaces |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994714136&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42519 |
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