Standard

On the theory of non-linear minimax problems. / Dem’yanov, V. F.; Malozemov, V. N.

в: Russian Mathematical Surveys, Том 26, № 3, 30.06.1971, стр. 57-115.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Dem’yanov, VF & Malozemov, VN 1971, 'On the theory of non-linear minimax problems', Russian Mathematical Surveys, Том. 26, № 3, стр. 57-115. https://doi.org/10.1070/RM1971v026n03ABEH003834

APA

Dem’yanov, V. F., & Malozemov, V. N. (1971). On the theory of non-linear minimax problems. Russian Mathematical Surveys, 26(3), 57-115. https://doi.org/10.1070/RM1971v026n03ABEH003834

Vancouver

Dem’yanov VF, Malozemov VN. On the theory of non-linear minimax problems. Russian Mathematical Surveys. 1971 Июнь 30;26(3):57-115. https://doi.org/10.1070/RM1971v026n03ABEH003834

Author

Dem’yanov, V. F. ; Malozemov, V. N. / On the theory of non-linear minimax problems. в: Russian Mathematical Surveys. 1971 ; Том 26, № 3. стр. 57-115.

BibTeX

@article{70f647e1138249d8982df6a572252ab5,
title = "On the theory of non-linear minimax problems",
abstract = "This article is a survey of recent results on non-linear minimax problems. The following questions are considered: The directional differentiability of the maximum function;necessary conditions for a minimax and their geometrical interpretation; sufficient conditions for a local minimax; methods of successive approximation to find the stationary points of the maximum function; properties of the maximin function. These questions are set out first of all for the discrete case (Ch. I) and then for the general case (Ch. II); in the first chapter the accent is on methods of successive approximation, while in the second it is on the tie-up between the theory, as it has evolved, and certain classical results.",
author = "Dem{\textquoteright}yanov, {V. F.} and Malozemov, {V. N.}",
note = "Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",
year = "1971",
month = jun,
day = "30",
doi = "10.1070/RM1971v026n03ABEH003834",
language = "English",
volume = "26",
pages = "57--115",
journal = "Russian Mathematical Surveys",
issn = "0036-0279",
publisher = "IOP Publishing Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - On the theory of non-linear minimax problems

AU - Dem’yanov, V. F.

AU - Malozemov, V. N.

N1 - Copyright: Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1971/6/30

Y1 - 1971/6/30

N2 - This article is a survey of recent results on non-linear minimax problems. The following questions are considered: The directional differentiability of the maximum function;necessary conditions for a minimax and their geometrical interpretation; sufficient conditions for a local minimax; methods of successive approximation to find the stationary points of the maximum function; properties of the maximin function. These questions are set out first of all for the discrete case (Ch. I) and then for the general case (Ch. II); in the first chapter the accent is on methods of successive approximation, while in the second it is on the tie-up between the theory, as it has evolved, and certain classical results.

AB - This article is a survey of recent results on non-linear minimax problems. The following questions are considered: The directional differentiability of the maximum function;necessary conditions for a minimax and their geometrical interpretation; sufficient conditions for a local minimax; methods of successive approximation to find the stationary points of the maximum function; properties of the maximin function. These questions are set out first of all for the discrete case (Ch. I) and then for the general case (Ch. II); in the first chapter the accent is on methods of successive approximation, while in the second it is on the tie-up between the theory, as it has evolved, and certain classical results.

UR - http://www.scopus.com/inward/record.url?scp=0346417956&partnerID=8YFLogxK

U2 - 10.1070/RM1971v026n03ABEH003834

DO - 10.1070/RM1971v026n03ABEH003834

M3 - Article

AN - SCOPUS:0346417956

VL - 26

SP - 57

EP - 115

JO - Russian Mathematical Surveys

JF - Russian Mathematical Surveys

SN - 0036-0279

IS - 3

ER -

ID: 73932438