Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities

Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities

We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities an...

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Main Authors: Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/125373
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spelling doaj-26ca8b735deb4c74a76075b8cf0b4de72020-11-24T23:49:24ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/125373125373Iterative Schemes for a Class of Mixed Trifunction Variational InequalitiesMuhammad Aslam Noor0Khalida Inayat Noor1Eisa Al-Said2Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, PakistanMathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, PakistanMathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaWe use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities and the classical variational inequalities as special cases. Convergence of these iterative methods is proved under very mild and suitable assumptions. Several special cases are also considered. Results proved in this paper continue to hold for these known and new classes of variational inequalities and its variant forms.http://dx.doi.org/10.1155/2012/125373
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Aslam Noor
Khalida Inayat Noor
Eisa Al-Said
spellingShingle Muhammad Aslam Noor
Khalida Inayat Noor
Eisa Al-Said
Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
Journal of Applied Mathematics
author_facet Muhammad Aslam Noor
Khalida Inayat Noor
Eisa Al-Said
author_sort Muhammad Aslam Noor
title Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
title_short Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
title_full Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
title_fullStr Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
title_full_unstemmed Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
title_sort iterative schemes for a class of mixed trifunction variational inequalities
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities and the classical variational inequalities as special cases. Convergence of these iterative methods is proved under very mild and suitable assumptions. Several special cases are also considered. Results proved in this paper continue to hold for these known and new classes of variational inequalities and its variant forms.
url http://dx.doi.org/10.1155/2012/125373
work_keys_str_mv AT muhammadaslamnoor iterativeschemesforaclassofmixedtrifunctionvariationalinequalities
AT khalidainayatnoor iterativeschemesforaclassofmixedtrifunctionvariationalinequalities
AT eisaalsaid iterativeschemesforaclassofmixedtrifunctionvariationalinequalities
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