On Error Bounds for Quasinormal Programs

L. Minchenko () and A. Tarakanov
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L. Minchenko: Belorussian State University of Informatics and Radioelectronics
A. Tarakanov: Belorussian State University of Informatics and Radioelectronics

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 3, No 8, 579 pages

Abstract: 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.

Keywords: Nonlinear programming; Constraint qualifications; Quasinormality; Error bound property (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-010-9768-0

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