Regularized nonlinear scalarization for vector optimization problems with PDE‐constraints
Günter R. Leugering, R. Schiel · GAMM-Mitteilungen · 2012
Abstract This paper concerns the generalization and regularization of a nonlinear scalarization method by Pascoletti and Serafini, [14], to abstract partially ordered Banach spaces. In particular, we put emphasis on the possibility that the ordering cone might have an empty interior. All this is motivated by applying the method to a vector optimization problem with PDE‐constraints (© 2012 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)