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  • For the classical nonlinear program, two new relaxations of the Mangasarian– Fromovitz constraint qualification are discussed and their relationship with some standard constraint qualifications is examined. In particular, we establish the equivalence of one of these constraint qualifications with the recently suggested by Andreani et al. Constant rank of the subspace component constraint qualification. As an application, we make use of this new constraint qualification in the local analysis of the solution map to a parameterized equilibrium problem, modeled by a generalized equation.
  • For the classical nonlinear program, two new relaxations of the Mangasarian– Fromovitz constraint qualification are discussed and their relationship with some standard constraint qualifications is examined. In particular, we establish the equivalence of one of these constraint qualifications with the recently suggested by Andreani et al. Constant rank of the subspace component constraint qualification. As an application, we make use of this new constraint qualification in the local analysis of the solution map to a parameterized equilibrium problem, modeled by a generalized equation. (en)
Title
  • On relaxing the Mangasarian-Fromovitz constraint qualification
  • On relaxing the Mangasarian-Fromovitz constraint qualification (en)
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  • On relaxing the Mangasarian-Fromovitz constraint qualification
  • On relaxing the Mangasarian-Fromovitz constraint qualification (en)
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  • RIV/67985556:_____/14:00426110!RIV15-GA0-67985556
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  • I, P(GAP402/12/1309)
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  • 34358
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  • RIV/67985556:_____/14:00426110
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  • Nonlinear programming; Regularity conditions; Constraint qualifications; Lagrange multipliers; Mangasarian–Fromovitz constraint qualification; Constant rank constraint qualification (en)
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  • DE - Spolková republika Německo
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  • [2BC173EB2282]
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  • 18
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  • Outrata, Jiří
  • Kruger, A. Y.
  • Minchenko, L.
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  • 000331819000013
issn
  • 1385-1292
number of pages
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  • 10.1007/s11117-013-0238-4
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