Strong convergence to solutions of generalized mixed equilibrium problems with applications

We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed...

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Main Authors:	Prasit Cholamjiak, Suthep Suantai, Yeol Je Cho
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84856475000&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51809
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-51809
record_format	dspace
spelling	th-cmuir.6653943832-518092018-09-04T06:09:31Z Strong convergence to solutions of generalized mixed equilibrium problems with applications Prasit Cholamjiak Suthep Suantai Yeol Je Cho Mathematics We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed variational inequality problems in Banach spaces. Finally, examples and numerical results are also given. © 2012 Prasit Cholamjiak et al. 2018-09-04T06:09:31Z 2018-09-04T06:09:31Z 2012-02-06 Journal 16870042 1110757X 2-s2.0-84856475000 10.1155/2012/308791 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84856475000&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51809
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Prasit Cholamjiak Suthep Suantai Yeol Je Cho Strong convergence to solutions of generalized mixed equilibrium problems with applications
description	We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed variational inequality problems in Banach spaces. Finally, examples and numerical results are also given. © 2012 Prasit Cholamjiak et al.
format	Journal
author	Prasit Cholamjiak Suthep Suantai Yeol Je Cho
author_facet	Prasit Cholamjiak Suthep Suantai Yeol Je Cho
author_sort	Prasit Cholamjiak
title	Strong convergence to solutions of generalized mixed equilibrium problems with applications
title_short	Strong convergence to solutions of generalized mixed equilibrium problems with applications
title_full	Strong convergence to solutions of generalized mixed equilibrium problems with applications
title_fullStr	Strong convergence to solutions of generalized mixed equilibrium problems with applications
title_full_unstemmed	Strong convergence to solutions of generalized mixed equilibrium problems with applications
title_sort	strong convergence to solutions of generalized mixed equilibrium problems with applications
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84856475000&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51809
_version_	1681423836874014720

Strong convergence to solutions of generalized mixed equilibrium problems with applications

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