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Stability property of a class of variational inequalities. (English) Zbl 0553.49007
For a given multivalued mapping \(F: X\to Y\) and a function \(g: X\times X\to R\) this paper considers continuity properties of the (multivalued) mapping \(S(v):=\{\bar x\in F^{-1}(v)|\) \(g(\bar x,x)\geq 0\) for all \(x\in F^{-1}(v)\}\).

49J40 Variational inequalities
49J45 Methods involving semicontinuity and convergence; relaxation
54C60 Set-valued maps in general topology
54C08 Weak and generalized continuity
90C48 Programming in abstract spaces
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