Solution sensitivity of variational inequalities. (English) Zbl 0927.49005

The author obtains an implicit function theorem for a parametric variational system of the form \[ 0\in f(x,p)+ N[x,C(q)]. \] Here \(x\) represents the state of the system, and \(p\) and \(q\) are external parameters. The state \(x\) lies in a reflexive Banach space \(X\) and the couple \((p,q)\) lies in a metric space. The symbol \(N\) refers to the normal cone in the sense of convex analysis.
Reviewer: A.Seeger (Avignon)


49J40 Variational inequalities
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