Geodesic
Regularized dual method for nonlinear mathematical programming
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 796-816

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For a nonlinear programming problem with equality constraints in a Hilbert space, a dual-type algorithm is constructed that is stable with respect to input data errors. The algorithm is based on a modified dual of the original problem that is solved directly by applying Tikhonov regularization. The algorithm is designed to determine a norm-bounded minimizing sequence of feasible elements. An iterative regularization of the dual algorithm is considered. A stopping rule for the iteration process is given in the case of a finite fixed error in the input data. 
@article{ZVMMF_2007_47_5_a3,
     author = {M. I. Sumin},
     title = {Regularized dual method for nonlinear mathematical programming},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {796--816},
     publisher = {mathdoc},
     volume = {47},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a3/}
}
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M. I. Sumin. Regularized dual method for nonlinear mathematical programming. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 5, pp. 796-816. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_5_a3/