On Error Bounds for Quasinormal Programs |
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Authors: | L Minchenko A Tarakanov |
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Institution: | 1.Department of Informatics,Belorussian State University of Informatics and Radioelectronics,Minsk,Belarus |
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Abstract: | The Mangasarian-Fromovitz constraint qualification is a central concept within the theory of constraint qualifications in
nonlinear optimization. Nevertheless there are problems where this condition does not hold though other constraint qualifications
can be fulfilled. One of such constraint qualifications is the so-called quasinormality by Hestenes. The well known error
bound property (R-regularity) can also play the role of a general constraint qualification providing the existence of Lagrange multipliers.
In this note we investigate the relation between some constraint qualifications and prove that quasinormality implies the
error bound property, while the reciprocal is not true. |
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Keywords: | |
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