Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems

In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the existence theorems of the presented pro...

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Main Authors:	Suthep Suantai, Narin Petrot
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650031389&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50130
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-50130
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spelling	th-cmuir.6653943832-501302018-09-04T04:24:47Z Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems Suthep Suantai Narin Petrot Mathematics In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the existence theorems of the presented problems but also provide the algorithm to find such solutions. Moreover, the stability of such an algorithm is also discussed. The results presented in this paper are more general, and may be viewed as an extension, refinement and improvement of the previously known results in the literature. © 2010 Elsevier Ltd. All rights reserved. 2018-09-04T04:24:47Z 2018-09-04T04:24:47Z 2011-03-01 Journal 08939659 2-s2.0-78650031389 10.1016/j.aml.2010.10.011 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650031389&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50130
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Suthep Suantai Narin Petrot Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
description	In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the existence theorems of the presented problems but also provide the algorithm to find such solutions. Moreover, the stability of such an algorithm is also discussed. The results presented in this paper are more general, and may be viewed as an extension, refinement and improvement of the previously known results in the literature. © 2010 Elsevier Ltd. All rights reserved.
format	Journal
author	Suthep Suantai Narin Petrot
author_facet	Suthep Suantai Narin Petrot
author_sort	Suthep Suantai
title	Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
title_short	Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
title_full	Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
title_fullStr	Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
title_full_unstemmed	Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
title_sort	existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650031389&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50130
_version_	1681423534438481920

Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems

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