From convergence principles to stability and optimality
dc.contributor.author | Klatte, Diethard | |
dc.contributor.author | Kruger, Alexander | |
dc.contributor.author | Kummer, Bernd | |
dc.date.accessioned | 2017-06-15T18:27:40Z | |
dc.date.available | 2017-06-15T18:27:40Z | |
dc.date.created | 2011-09-27 | |
dc.date.issued | 2011-09-27 | |
dc.identifier.issn | 0863-0976 | |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/3488 | |
dc.description.abstract | We show in a rather general setting that Hoelder and Lipschitz stability properties of solutions to variational problems can be characterized by convergence of more or less abstract iteration schemes. Depending on the principle of convergence, new and intrinsic stability conditions can be derived. Our most abstract models are (multi-) functions on complete metric spaces. The relevance of this approach is illustrated by deriving both classical and new results on existence and optimality conditions, stability of feasible and solution sets and convergence behavior of solution procedures. | eng |
dc.language.iso | eng | |
dc.publisher | Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Generalized equations | eng |
dc.subject | Hoelder stability iteration schemes | eng |
dc.subject | calmness | eng |
dc.subject | Aubin property | eng |
dc.subject | variational principles | eng |
dc.subject.ddc | 510 Mathematik | |
dc.title | From convergence principles to stability and optimality | |
dc.type | book | |
dc.identifier.urn | urn:nbn:de:kobv:11-100193523 | |
dc.identifier.doi | http://dx.doi.org/10.18452/2836 | |
local.edoc.pages | 22 | |
local.edoc.type-name | Buch | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 2010 | |
dc.identifier.zdb | 2075199-0 | |
bua.series.name | Preprints aus dem Institut für Mathematik | |
bua.series.issuenumber | 2010,19 |