Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space

Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space

We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone o...

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Main Authors: Wariam Chuayjan, Sornsak Thianwan
Other Authors: Mahidol University
Format: Article
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/27773
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spelling th-mahidol.277732018-09-13T13:47:37Z Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space Wariam Chuayjan Sornsak Thianwan Mahidol University University of Phayao Mathematics We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space. Under suitable assumptions, we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space. The results obtained in this paper extend and improve the several recent results in this area. 2018-09-13T06:47:37Z 2018-09-13T06:47:37Z 2009-11-18 Article Abstract and Applied Analysis. Vol.2009, (2009) 10.1155/2009/613524 16870409 10853375 2-s2.0-70449436170 https://repository.li.mahidol.ac.th/handle/123456789/27773 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449436170&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Wariam Chuayjan
Sornsak Thianwan
Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
description We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space. Under suitable assumptions, we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space. The results obtained in this paper extend and improve the several recent results in this area.
author2 Mahidol University
author_facet Mahidol University
Wariam Chuayjan
Sornsak Thianwan
format Article
author Wariam Chuayjan
Sornsak Thianwan
author_sort Wariam Chuayjan
title Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
title_short Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
title_full Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
title_fullStr Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
title_full_unstemmed Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
title_sort strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/27773
_version_ 1763495285574598656

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