A. G. Kusraev, S. S. Kutateladze, “Local convex analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 19, VINITI, Moscow, 1982, 155–206; J. Soviet Math., 26:4 (1984), 2048

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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", 1982, Volume 19, Pages 155–206 (Mi intd57)

This article is cited in 13 scientific papers (total in 15 papers)

Local convex analysis

A. G. Kusraev, S. S. Kutateladze

Full-text PDF (2958 kB) Citations (15)

Abstract: The article focuses on subdifferential calculus. A discussion of sublinear operators is followed by convex operators and finally by general nonlinear operators and applications to extremal problems.

English version:
Journal of Soviet Mathematics, 1984, Volume 26, Issue 4, Pages 2048–2087
DOI: https://doi.org/10.1007/BF01084446

Bibliographic databases:

UDC: 517.98

Language: Russian

Citation: A. G. Kusraev, S. S. Kutateladze, “Local convex analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 19, VINITI, Moscow, 1982, 155–206; J. Soviet Math., 26:4 (1984), 2048–2087

Citation in format AMSBIB

\Bibitem{KusKut82}

\by A.~G.~Kusraev, S.~S.~Kutateladze

\paper Local convex analysis

\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.

\yr 1982

\vol 19

\pages 155--206

\publ VINITI

\publaddr Moscow

\mathnet{http://mi.mathnet.ru/intd57}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=662571}

\zmath{https://zbmath.org/?q=an:0543.46025|0516.46026}

\transl

\jour J. Soviet Math.

\yr 1984

\vol 26

\issue 4

\pages 2048--2087

\crossref{https://doi.org/10.1007/BF01084446}

Linking options:

https://www.mathnet.ru/eng/intd57

https://www.mathnet.ru/eng/intd/v19/p155

This publication is cited in the following 15 articles:

Tierui Zou, Nader Aljohani, Pan Wang, Arturo S. Bretas, Newton G. Bretas, “Distributed nonlinear state estimation using adaptive penalty parameters with load characteristics in the Electricity Reliability Council of Texas”, Journal of Industrial Information Integration, 24 (2021), 100223
A. G. Kusraev, “The extremal structure of convex sets of multilinear operators”, Siberian Math. J., 61:5 (2020), 830–843
Antonio Boccuto, Antonio Di Nola, Gaetano Vitale, “Affine representations of ${\ell}$ ℓ -groups and MV-algebras”, Algebra Univers., 78:4 (2017), 563
I. V. Orlov, I. V. Baran, “Introduction to sublinear analysis – 2: symmetric case”, Journal of Mathematical Sciences, 225:2 (2017), 265–321
I. V. Orlov, “Introduction to sublinear analysis”, Journal of Mathematical Sciences, 218:4 (2016), 430–502
S. K. Vodopyanov, E. I. Gordon, A. E. Gutman, A. V. Koptev, S. S. Kutateladze, S. A. Malyugin, Yu. G. Reshetnyak, “Anatoliyu Georgievichu Kusraevu — 60 let”, Sib. elektron. matem. izv., 10 (2013), 13–29
I. V. Orlov, Z. I. Khalilova, “Compact subdifferentials in Banach spaces and their applications to variational functionals”, Journal of Mathematical Sciences, 211:4 (2015), 542–578
C. Gutiérrez, L. Huerga, B. Jiménez, V. Novo, “Proper approximate solutions and -subdifferentials in vector optimization: Basic properties and limit behaviour”, Nonlinear Analysis: Theory, Methods & Applications, 79 (2013), 52
A. E. Gutman, A. G. Kusraev, Yu. G. Reshetnyak, “K voprosu ob $n$ -letii Semena Samsonovicha Kutateladze dlya sluchaya $n=60$ ”, Sib. elektron. matem. izv., 2 (2005), 12–33
Doug Ward, “Chain rules for nonsmooth functions”, Journal of Mathematical Analysis and Applications, 158:2 (1991), 519
Doug Ward, “Directional Derivative Calculus and Optimality Conditions in Nonsmooth Mathematical Programming”, Journal of Information and Optimization Sciences, 10:1 (1989), 81
N Hadjisavvas, D Kravvaritis, G Pantelidis, I Polyrakis, “Nonlinear monotone operators with values in L(X, Y)”, Journal of Mathematical Analysis and Applications, 140:1 (1989), 83
Doug Ward, “Which subgradients have sum formulas?”, Nonlinear Analysis: Theory, Methods & Applications, 12:11 (1988), 1231
Doug Ward, “Convex subcones of the contingent cone in nonsmooth calculus and optimization”, Trans. Amer. Math. Soc., 302:2 (1987), 661
A. V. Bukhvalov, “Application of methods of the theory of order-bounded operators to the theory of operators in $L^p$ -spaces”, Russian Math. Surveys, 38:6 (1983), 43–98

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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