Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets

We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. To obtain these...

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Main Authors:	Mohammad S. R. Chowdhury, Yeol Je Cho
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://dx.doi.org/10.1155/2010/237191

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spelling	doaj-cdf91516b5694815a884cb786740c58d2020-11-24T21:42:00ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/237191Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact SetsMohammad S. R. ChowdhuryYeol Je ChoWe prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. To obtain these results on GBQVI for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators, we use Chowdhury and Tan's generalized version (1996) of Ky Fan's minimax inequality (1972) as the main tool. http://dx.doi.org/10.1155/2010/237191
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mohammad S. R. Chowdhury Yeol Je Cho
spellingShingle	Mohammad S. R. Chowdhury Yeol Je Cho Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets Journal of Inequalities and Applications
author_facet	Mohammad S. R. Chowdhury Yeol Je Cho
author_sort	Mohammad S. R. Chowdhury
title	Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets
title_short	Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets
title_full	Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets
title_fullStr	Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets
title_full_unstemmed	Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets
title_sort	generalized bi-quasivariational inequalities for quasi-pseudomonotone type ii operators on noncompact sets
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2010-01-01
description	We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. To obtain these results on GBQVI for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators, we use Chowdhury and Tan's generalized version (1996) of Ky Fan's minimax inequality (1972) as the main tool.
url	http://dx.doi.org/10.1155/2010/237191
work_keys_str_mv	AT mohammadsrchowdhury generalizedbiquasivariationalinequalitiesforquasipseudomonotonetypeiioperatorsonnoncompactsets AT yeoljecho generalizedbiquasivariationalinequalitiesforquasipseudomonotonetypeiioperatorsonnoncompactsets
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Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets

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