Separation of Sets, Lagrange Multipliers, and Totally Regular Extremum Problems

M. Castellani, G. Mastroeni and M. Pappalardo
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M. Castellani: University of Pisa
G. Mastroeni: University of Pisa
M. Pappalardo: University of Pisa

Journal of Optimization Theory and Applications, 1997, vol. 92, issue 2, No 2, 249-261

Abstract: Abstract We introduce the concept of total regularity for the separation of sets, and we give a characterization of it. Also, we prove the equivalence between total regularity and boundedness of the generalized multipliers associated to the separation, and we compute the value of the bound. Then, we give a theorem concerning the uniqueness of such multipliers. Afterward, the previous results are applied to the study of the impossibility of generalized systems; particular attention is devoted to systems arising from the optimality conditions of constrained extremum problems.

Keywords: Regularity; total regularity; separation theorems; constraint qualifications; generalized multipliers (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1022698811948

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