On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces
<p/> <p>We use the Wiener-Hopf equations and the Yosida approximation notions to prove the existence theorem of a system of nonlinear mixed implicit equilibrium problems (SMIE) in Hilbert spaces. The algorithm for finding a solution of the problem (SMIE) is suggested; the convergence cri...
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| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/437976 |
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doaj-3ef5ffb9628c42daa6d91a53d903b4cb2020-11-25T00:21:43ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101437976On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert SpacesPetrot NarinCho YeolJe<p/> <p>We use the Wiener-Hopf equations and the Yosida approximation notions to prove the existence theorem of a system of nonlinear mixed implicit equilibrium problems (SMIE) in Hilbert spaces. The algorithm for finding a solution of the problem (SMIE) is suggested; the convergence criteria and stability of the iterative algorithm are discussed. The results presented in this paper are more general and are viewed as an extension, refinement, and improvement of the previously known results in the literature.</p>http://www.journalofinequalitiesandapplications.com/content/2010/437976 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Petrot Narin Cho YeolJe |
| spellingShingle |
Petrot Narin Cho YeolJe On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces Journal of Inequalities and Applications |
| author_facet |
Petrot Narin Cho YeolJe |
| author_sort |
Petrot Narin |
| title |
On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces |
| title_short |
On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces |
| title_full |
On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces |
| title_fullStr |
On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces |
| title_full_unstemmed |
On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces |
| title_sort |
on the system of nonlinear mixed implicit equilibrium problems in hilbert spaces |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p/> <p>We use the Wiener-Hopf equations and the Yosida approximation notions to prove the existence theorem of a system of nonlinear mixed implicit equilibrium problems (SMIE) in Hilbert spaces. The algorithm for finding a solution of the problem (SMIE) is suggested; the convergence criteria and stability of the iterative algorithm are discussed. The results presented in this paper are more general and are viewed as an extension, refinement, and improvement of the previously known results in the literature.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/437976 |
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AT petrotnarin onthesystemofnonlinearmixedimplicitequilibriumproblemsinhilbertspaces AT choyeolje onthesystemofnonlinearmixedimplicitequilibriumproblemsinhilbertspaces |
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