Geodesic
Exact penalties for optimization problems with 2-regular equality constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 365-372

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A new first-order sufficient condition for penalty exactness that includes neither the standard constraint qualification requirement nor the second-order sufficient optimality condition is proposed for optimization problems with equality constraints. 
@article{ZVMMF_2008_48_3_a1,
     author = {E. R. Avakov and A. V. Arutyunov and A. F. Izmailov},
     title = {Exact penalties for optimization problems with 2-regular equality constraints},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {365--372},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a1/}
}
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E. R. Avakov; A. V. Arutyunov; A. F. Izmailov. Exact penalties for optimization problems with 2-regular equality constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 365-372. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a1/