| Contents |
| In this talk we deal with optimization problems in Banach spaces which
represent a standard abstract model for many PDE control problems. By
conical regularization we understand those methods which construct a family
of approximate problems by replacing the constraint cone by an approximating
family of cones. These methods are specially indicated for those problems
where KKT conditions are not available or such that the associated
multipliers exhibit low regularity. In [A.A. Khan, M. Sama, A new conical
regularization for some optimization and optimal control problems:
Convergence analysis and finite element discretization, Numer. Funct. Anal.
Optim. 34(8), 861-895 (2013)] a set-valued model was proposed in order to
prove the convergence in norm of the regularized solutions to the solution
of the original problem. The aim of this talk is to apply
set-valued analysis techniques to get an estimate of the order of
convergence. |
|