An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators
type: Item
instance of: scholarly article
title: An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators
zbMATH Open document ID: 1235.47062
author: Gue Myung Lee
author: B. T. Kien
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-01-31T00:00:00Z
review text: In this paper, a solution existence theorem for a generalized variational inequality problem with an operator which is defined on an infinite-dimensional space is given. By using a new technique which reduces infinite variational inequality problems to finite ones, the proof of the theorem is provided. Furthermore, two examples are given and analyzed to illustrate the theorem. The results presented in this paper improve and extend many known results in the recent literature.
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 5843313
zbMATH Keywords: B-pseudomonotone operator
zbMATH Keywords: K-pseudomonotone operator
zbMATH Keywords: C-pseudomonotone operator
zbMATH Keywords: generalized variational inequality
zbMATH Keywords: solution existence
zbMATH Keywords: sensitivity
zbMATH Keywords: stability
zbMATH Keywords: ordinary differential operators
reviewed by: Hengyou Lan
MaRDI profile type: Publication
full work available at URL: j.na.2010.10.022
OpenAlex ID: W2041516769
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DOI: 10.1016/J.NA.2010.10.022
description: scientific article; zbMATH DE number 5843313