Abstract
The linear independence constraint qualification (LICQ) and the weaker Mangasarian-Fromovitz constraint qualification (MFCQ) are well-known concepts in nonlinear optimization. A theorem is proved suggesting that the set of feasible points for which MFCQ essentially differs from LICQ is small in a specified sense. As an auxiliary result, it is shown that, under MFCQ, the constraint set (even in semi-infinite optimization) is locally representable in epigraph form.
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Communicated by O. L. Mangasarian
The author wishes to thank Professor H. T. Jongen for valuable advice.
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Henrion, R. On constraint qualifications. J Optim Theory Appl 72, 187–197 (1992). https://doi.org/10.1007/BF00939955
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DOI: https://doi.org/10.1007/BF00939955