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On deformations of nonsmooth optimization problems having an isolated extremal. (English. Russian original) Zbl 0847.90138
Russ. Acad. Sci., Izv., Math. 45, No. 1, 187-195 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 4, 186-193 (1994).
Summary: A deformation method is presented for investigating optimization problems with Lipschitz functionals on a Banach space. A deformation minimum principle is proved: under a special nondegenerate deformation of an optimization problem the property of being a local minimum point is preserved for an extremal if the corresponding extremal of the standard problem had that property.
MSC:
90C48 Programming in abstract spaces
49J52 Nonsmooth analysis
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