- Title
- From convergence principles to stability and optimality conditions
- Creator
- Klatte, Diethard; Kruger, Alexander; Kummer, Bernd
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/55174
- Identifier
- vital:4851
- Identifier
- http://www.scopus.com/inward/record.url?eid=2-s2.0-84871967830&partnerID=40&md5=288da17d682d7f785e7722b810b3e79c
- Identifier
- ISSN:0944-6532
- 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. © Heldermann Verlag.
- Relation
- Journal of Convex Analysis Vol. 19, no. 4 (2012), p. 1043-1072
- Rights
- Copyright Heldermann Verlag
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Aubin property; Calmness; Generalized equations; Hoelder stability; Iteration schemes; Variational principles
- Full Text
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