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G. Nürnberger (1984)
Unicity in Semi-Infinite Optimization
M. Goberna, M. López, M. Todorov (1995)
Unicity in linear optimizationJournal of Optimization Theory and Applications, 86
M. Goberna, M. López, M. Todorov (1996)
Stability Theory for Linear Inequality SystemsSIAM J. Matrix Anal. Appl., 17
M. Goberna, Marco López, J. Pastor (1981)
Farkas-Minkowski systems in semi-infinite programmingApplied Mathematics and Optimization, 7
T. Fischer (1991)
Strong unicity and alternation for linear optimizationJournal of Optimization Theory and Applications, 69
T. Fischer (1990)
Strong unicity in normed linear spacesNumerical Functional Analysis and Optimization, 11
S. Helbig (1990)
Stability in disjunctive linear optimization I: continuity of the feasible setOptimization, 21
B. Bank (1983)
Non-Linear Parametric Optimization
M. Goberna, M. López (1992)
Conditions for the uniqueness of the optimal solution in linear semi-infinite programmingJournal of Optimization Theory and Applications, 72
M. Goberna, M. López, M. Todorov (1997)
Stability Theory for Linear Inequality Systems II: Upper Semicontinuity of the Solution Set MappingSIAM J. Optim., 7
S. Helbig (1994)
Stability in disjunctive optimization II:continuity of the feasible and optimal setOptimization, 31
M. Bartelt, H. McLaughlin (1973)
Characterizations of strong unicity in approximation theoryJournal of Approximation Theory, 9
Abstract. We consider parametric semi-infinite optimization problems without the usual asssumptions 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 pertubations. This result generalizes a well-known theorem of Nürnberger. 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.
Applied Mathematics and Optimization – Springer Journals
Published: Aug 1, 1998
Keywords: Key words. Semi-infinite linear optimization, Parametric optimization, Density of the unicity set, Strong unicity. AMS Classification. 90C05, 90C34, 65K05, 49M39.
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