Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets

The concept of quasivariational inequality problem on proximally smooth sets is studied. Some sufficient conditions for solving the existence of solutions of such a problem are provided; also some interesting cases are discussed. Of course, due to the significance of proximally smooth sets, the res...

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Main Authors: Jittiporn Suwannawit, Narin Petrot
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/612819
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author Jittiporn Suwannawit
Narin Petrot
author_facet Jittiporn Suwannawit
Narin Petrot
author_sort Jittiporn Suwannawit
collection DOAJ
description The concept of quasivariational inequality problem on proximally smooth sets is studied. Some sufficient conditions for solving the existence of solutions of such a problem are provided; also some interesting cases are discussed. Of course, due to the significance of proximally smooth sets, the results which are presented in this paper improve and extend many important results in the literature.
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institution Kabale University
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publishDate 2013-01-01
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series Abstract and Applied Analysis
spelling doaj-art-cc55db1495f24b9fb7b3038f620e89322025-02-03T06:10:57ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/612819612819Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth SetsJittiporn Suwannawit0Narin Petrot1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandThe concept of quasivariational inequality problem on proximally smooth sets is studied. Some sufficient conditions for solving the existence of solutions of such a problem are provided; also some interesting cases are discussed. Of course, due to the significance of proximally smooth sets, the results which are presented in this paper improve and extend many important results in the literature.http://dx.doi.org/10.1155/2013/612819
spellingShingle Jittiporn Suwannawit
Narin Petrot
Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets
Abstract and Applied Analysis
title Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets
title_full Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets
title_fullStr Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets
title_full_unstemmed Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets
title_short Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets
title_sort existence theorems for quasivariational inequality problem on proximally smooth sets
url http://dx.doi.org/10.1155/2013/612819
work_keys_str_mv AT jittipornsuwannawit existencetheoremsforquasivariationalinequalityproblemonproximallysmoothsets
AT narinpetrot existencetheoremsforquasivariationalinequalityproblemonproximallysmoothsets