On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces

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...

Full description

Bibliographic Details
Main Authors: Yeol Je Cho, Narin Petrot
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/437976
id doaj-08a20226280446d2884e5a3352f487bd
record_format Article
spelling 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
_version_ 1725473222430818304

Similar Items