Implicit function theorems and variational inequalities
Domokos, András;
Implicit function theorems and variational inequalities
The author proves an implicit function theorem for set-valued mappings in Banach spaces based on the concept of strong approximation (S. M. Robinson, 1991). The theorem is used in the study of stability of perturbed variational inequalities with strongly monotone operators. Note of the reviewer: The theorem on the stability of solutions of variational inequalities presented by the author is not original (A. B. Bakushinsky and A. V. Goncharsky, 1989).
implicit function theorem, perturbed variational inequalities, set-valued mappings, Variational inequalities
implicit function theorem, perturbed variational inequalities, set-valued mappings, Variational inequalities