Stability analysis for variational inequality in reflexive Banach spaces (Q949680)

The authors study continuity properties of the solution set mapping associated with the perturbed variational inequality problem \(\sup_{y^* \in F(y,v)} \langle y^*,x-y \rangle \leq 0\) \(\forall y \in L(u)\) in a Banach space with respect to the parameters \(u\), \(v\). The sets \(L(u)\) are assumed to be closed and convex, and the operators \(F(\cdot,v)\) are supposed to be quasimonotone.