A. F. Izmailov, “Optimality conditions in extremal problems with nonregular inequality constraints”, Mat. Zametki, 66:1 (1999), 89–101; Math. Notes, 66:1 (1999), 72

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Matematicheskie Zametki, 1999, Volume 66, Issue 1, Pages 89–101
DOI: https://doi.org/10.4213/mzm1144 (Mi mzm1144)

This article is cited in 16 scientific papers (total in 16 papers)

Optimality conditions in extremal problems with nonregular inequality constraints

A. F. Izmailov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Full-text PDF (210 kB) Citations (16)

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DOI: https://doi.org/10.4213/mzm1144

Received: 22.09.1997

English version:
Mathematical Notes, 1999, Volume 66, Issue 1, Pages 72–81
DOI: https://doi.org/10.1007/BF02674072

Bibliographic databases:

UDC: 517.977

Language: Russian

Citation: A. F. Izmailov, “Optimality conditions in extremal problems with nonregular inequality constraints”, Mat. Zametki, 66:1 (1999), 89–101; Math. Notes, 66:1 (1999), 72–81

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm1144

https://doi.org/10.4213/mzm1144

https://www.mathnet.ru/eng/mzm/v66/i1/p89

This publication is cited in the following 16 articles:

Dmitry Karamzin, Lecture Notes in Computer Science, 15218, Optimization and Applications, 2025, 155
V. Vivanco-Orellana, R. Osuna-Gómez, M. A. Rojas-Medar, “Necessary and Sufficient Optimality Conditions for Non-regular Problems”, Numerical Functional Analysis and Optimization, 44:12 (2023), 1228
Hernandez-Jimenez B. Osuna-Gomez R. Rojas-Medar M.A. Batista dos Santos L., “Generalized Convexity for Non-Regular Optimization Problems with Conic Constraints”, J. Glob. Optim., 57:3, SI (2013), 649–662
C.E.M. Pearce, A. C. Eberhard, “A sufficient optimality condition for nonregular problems via a nonlinear Lagrangian”, NACO, 2:2 (2012), 301
Arutyunov, AV, “Necessary Optimality Conditions for Problems with Equality and Inequality Constraints: Abnormal Case”, Journal of Optimization Theory and Applications, 140:3 (2009), 391
Arutyunov, AV, “Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications”, Mathematical Programming, 114:1 (2008), 37
E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Necessary Conditions for an Extremum in a Mathematical Programming Problem”, Proc. Steklov Inst. Math., 256 (2007), 2–25
Avakov, ER, “Necessary conditions for an extremum in 2-regular problems”, Doklady Mathematics, 73:3 (2006), 340
Arutyunov, A, “Second-order necessary optimality conditions for problems without a priori normality assumptions”, Mathematics of Operations Research, 31:1 (2006), 1
D. Yu. Karamzin, “On necessary extremum conditions for finite-dimensional problems with inequality constraints”, Comput. Math. Math. Phys., 46:11 (2006), 1860–1871
A. V. Arutyunov, “Covering of nonlinear maps on a cone in neighborhoods of irregular points”, Math. Notes, 77:4 (2005), 447–460
Arutyunov, AV, “Necessary extremum conditions without making a priori normality assumptions”, Doklady Mathematics, 71:3 (2005), 442
Arutyunov A., Pereira F.L., “Nondegenerate Necessary Conditions of Optimality for Problems Without Normality Assumptions”, 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, IEEE Conference on Decision and Control - Proceedings, IEEE, 2005, 7302–7307
A. Arutyunov, F.L. Pereira, Proceedings of the 44th IEEE Conference on Decision and Control, 2005, 7302
Arutyunov, AV, “Inverse function theorem on a cone in the neighborhood of an abnormal point”, Doklady Mathematics, 67:2 (2003), 149
Arutyunov, AV, “Conditions for a high-order extremum and tangent vectors at an abnormal point”, Doklady Mathematics, 64:3 (2001), 381

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

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