On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces
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...
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2010/437976 |
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doaj-08a20226280446d2884e5a3352f487bd2020-11-24T23:52:32ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/437976On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert SpacesYeol Je ChoNarin PetrotWe 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. http://dx.doi.org/10.1155/2010/437976 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yeol Je Cho Narin Petrot |
spellingShingle |
Yeol Je Cho Narin Petrot On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces Journal of Inequalities and Applications |
author_facet |
Yeol Je Cho Narin Petrot |
author_sort |
Yeol Je Cho |
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 |
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. |
url |
http://dx.doi.org/10.1155/2010/437976 |
work_keys_str_mv |
AT yeoljecho onthesystemofnonlinearmixedimplicitequilibriumproblemsinhilbertspaces AT narinpetrot onthesystemofnonlinearmixedimplicitequilibriumproblemsinhilbertspaces |
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1725473222430818304 |