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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 45, Issue 1, Pages 187–195
DOI: https://doi.org/10.1070/IM1995v045n01ABEH001626 (Mi im776) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On deformations of nonsmooth optimization problems having an isolated extremal

V. I. Skalyga
English version PDF (485 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1995v045n01ABEH001626
Abstract: 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.
Received: 30.10.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 4, Pages 186–193
Bibliographic databases:
UDC: 517.977.58
MSC: Primary 49J52; Secondary 90C30, 90C48, 65K10
Language: English
Original paper language: Russian
Citation: V. I. Skalyga, “On deformations of nonsmooth optimization problems having an isolated extremal”, Izv. RAN. Ser. Mat., 58:4 (1994), 186–193; Russian Acad. Sci. Izv. Math., 45:1 (1995), 187–195
Citation in format AMSBIB
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\by V.~I.~Skalyga
\paper On~deformations of nonsmooth optimization problems having an isolated extremal
\jour Izv. RAN. Ser. Mat.
\yr 1994
\vol 58
\issue 4
\pages 186--193
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1307062}
\zmath{https://zbmath.org/?q=an:0847.90138}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 45
\issue 1
\pages 187--195
\crossref{https://doi.org/10.1070/IM1995v045n01ABEH001626}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ08400009}
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  • https://doi.org/10.1070/IM1995v045n01ABEH001626
  • https://www.mathnet.ru/eng/im/v58/i4/p186
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:217
    Russian version PDF:75
    English version PDF:16
    References:44
    First page:2
     
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