Projection Algorithms for Variational Inclusions

We present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality.

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Bibliographic Details
Main Authors: Youli Yu, Pei-Xia Yang, Khalida Inayat Noor
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/137932
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author Youli Yu
Pei-Xia Yang
Khalida Inayat Noor
author_facet Youli Yu
Pei-Xia Yang
Khalida Inayat Noor
author_sort Youli Yu
collection DOAJ
description We present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-3c927de32b2144708b1b44da9d8f62672025-02-03T01:23:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/137932137932Projection Algorithms for Variational InclusionsYouli Yu0Pei-Xia Yang1Khalida Inayat Noor2School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaMathematics Department, COMSATS Institute of Information Technology, Islamabad 44000, PakistanWe present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality.http://dx.doi.org/10.1155/2012/137932
spellingShingle Youli Yu
Pei-Xia Yang
Khalida Inayat Noor
Projection Algorithms for Variational Inclusions
Journal of Applied Mathematics
title Projection Algorithms for Variational Inclusions
title_full Projection Algorithms for Variational Inclusions
title_fullStr Projection Algorithms for Variational Inclusions
title_full_unstemmed Projection Algorithms for Variational Inclusions
title_short Projection Algorithms for Variational Inclusions
title_sort projection algorithms for variational inclusions
url http://dx.doi.org/10.1155/2012/137932
work_keys_str_mv AT youliyu projectionalgorithmsforvariationalinclusions
AT peixiayang projectionalgorithmsforvariationalinclusions
AT khalidainayatnoor projectionalgorithmsforvariationalinclusions