Premium
Regularized nonlinear scalarization for vector optimization problems with PDE‐constraints
Author(s) -
Leugering G.,
Schiel R.
Publication year - 2012
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201210014
Subject(s) - banach space , regularization (linguistics) , nonlinear system , generalization , vector optimization , mathematics , mathematical optimization , optimization problem , computer science , mathematical analysis , physics , artificial intelligence , multi swarm optimization , quantum mechanics
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)