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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 $$x\in F^{-1}(v)\}$$.

##### MSC:
 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
##### Keywords:
multivalued mapping; continuity properties
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