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Sensitivity analysis for strongly nonlinear quasi-variational inclusions. (English) Zbl 0960.47035
It is proved that the solutions of the problem 0N(u,u,λ)+M(u,u,λ) in a Hilbert space depend continuously on the parameter λ. Here, M(·,u,λ) is maximal monotone and such that the corresponding resolvent operator (I+ρM(·,u,λ)) -1 satisfies a Lipschitz condition with respect to u, N(·,u,λ) is strongly monotone and Lipschitz, and N(u,·,λ) is Lipschitz (always with appropriate constants).

47J20Inequalities involving nonlinear operators
65K10Optimization techniques (numerical methods)
47H05Monotone operators (with respect to duality) and generalizations