Parametric well-posedness for variational inequalities defined by bifunctions

Authors:
Ya-Ping Fang;Rong Hu
Affiliations:
Department of Mathematics, Sichuan University, Chengdu, Sichuan, PR China;Department of Computational Science, Chengdu University of Information Technology, Chengdu, Sichuan, PR China
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

In this paper we introduce the concepts of parametric well-posedness for Stampacchia and Minty variational inequalities defined by bifunctions. We establish some metric characterizations of parametric well-posedness. Under suitable conditions, we prove that the parametric well-posedness is equivalent to the existence and uniqueness of solutions to these variational inequalities.