Unicity Results for General Linear Semi-Infinite Optimization Problems Using a New Concept of Active Constraints
- Moerikestrasse 6, D-60320 Frankfurt/Main 1 (Germany)
- Bulgarian Academy of Sciences, Institute of Mathematics, 29 Ph. Macedonsky Street, 4002 Plovdiv (Bulgaria)
We consider parametric semi-infinite optimization problems without the usual assumptions on the continuity of the involved mappings and on the compactness of the index set counting the inequalities. We establish a characterization of those optimization problems which have a unique or strongly unique solution and which are stable under small perturbations. This result generalizes a well-known theorem of Nuernberger. The crucial roles in our investigations are a new concept of active constraints, a generalized Slater's condition, and a Kuhn-Tucker-type theorem. Finally, we give some applications in vector optimization, for approximation problems in normed spaces, and in the stability of the minimal value.
- OSTI ID:
- 21067569
- Journal Information:
- Applied Mathematics and Optimization, Vol. 38, Issue 1; Other Information: DOI: 10.1007/s002459900080; Copyright (c) 1998 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 1998 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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