The primary objective of this research is to investigate an inverse problem
of parameter identification in nonlinear mixed quasi-variational inequalities
posed in a Banach space setting. By using a fixed point theorem, we explore
properties of the solution set of the considered quasi-variational inequality.
We develop a general regularization framework to give an existence result for
the inverse problem. Finally, we apply the abstract framework to a concrete
inverse problem of identifying the material parameter in an implicit obstacle
problem given by an operator of p-Laplacian type