Set-Valued Analysis

, 16:1089 | Cite as

Lower Semicontinuity of the Solution Map to a Parametric Generalized Variational Inequality in Reflexive Banach Spaces

  • B. T. KienEmail author


This paper is concerned with the study of solution stability of a parametric generalized variational inequality in reflexive Banach spaces. Under the requirements that the operator of a unperturbed problem is of class (S) +  and operators under consideration are pseudo-monotone and demicontinuous, we show that the solution map of a parametric generalized variational inequality is lower semicontinuous. The obtained results are proved without conditions related to the degree theory and the metric projection.


Parametric generalized variational inequality Generalized equation Lower semicontinuity Pseudo-monotonicity 

Mathematics Subject Classifications (2000)

47J20 49J40 49J53 90C33 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of Information and TechnologyHanoi University of Civil EngineeringHanoiVietnam

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