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Sbornik: Mathematics, 2001, Volume 192, Issue 5, Pages 641–649
DOI: https://doi.org/10.1070/SM2001v192n05ABEH000562 (Mi sm562) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Fermat–Lagrange principle for mixed smooth convex extremal problems

J. Brinkhuis

Erasmus University, Econometric Institute
English version PDF (153 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2001v192n05ABEH000562
Abstract: A simple geometric condition that can be attached to an extremal problem of a fairly general form included in a family of problems is indicated. This is used to demonstrate that the task of formulating a uniform condition for smooth convex problems can be satisfactorily accomplished. On the other hand, the necessity of this new condition of optimality is proved under certain technical assumptions.
Received: 02.08.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 5, Pages 3–12
DOI: https://doi.org/10.4213/sm562
Bibliographic databases:
UDC: 517.97
MSC: Primary 49K27; Secondary 90C46
Language: English
Original paper language: Russian
Citation: J. Brinkhuis, “On the Fermat–Lagrange principle for mixed smooth convex extremal problems”, Mat. Sb., 192:5 (2001), 3–12; Sb. Math., 192:5 (2001), 641–649
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:476
    Russian version PDF:222
    English version PDF:16
    References:58
    First page:1
     
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