0426110 20240103204016.820140313235959.9 000331819000013 10.1007/s11117-013-0238-4 19 s. P cav_un_epca*02547711385-1292181 (2014)171-189Springer Nonlinear programming Regularity conditions Constraint qualifications Lagrange multipliers Mangasarian–Fromovitz constraint qualification Constant rank constraint qualification cav_un_auth*0262191 Kruger A.Y. AU cav_un_auth*0291810 Minchenko L. BY cav_un_auth*0101173 Outrata Jiří Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2014/MTR/outrata-0426110.pdf GAP402/12/1309 GA ČR cav_un_auth*0284931 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. 2015 BA 3 RVO:67985556 http://hdl.handle.net/11104/0232352 S MATHEMATICS 0.459 0.713 Q2 34.715 61.058 Q3 Q2 2014 000331819000013 WOS cav_un_epca*0254771 Positivity 1385-1292 1572-9281 Roč. 18 č. 1 2014 171 189 Springer