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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 51, 2002 - Issue 3
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Original Articles

Strict (ε, δ)-Subdifferentials and Extremality Conditions

A. Ya. Kruger Department of Information Technologies and Mathematics, International Institute of Labour and Social Relations, Kazintsa St. 21/3, Minsk, 220099, Belarus
Pages 539-554 | Published online: 27 Oct 2010

Citations (29)

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Read on this site (4)

Hoa T. Bui & Alexander Y. Kruger. (2022) Necessary conditions for non-intersection of collections of sets. Optimization 71:1, pages 165-196.
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Phan Quoc Khanh, Juan Enrique Martinez-Legaz, Christiane Tammer & Rene Henrion. (2020) Special Issue dedicated to the 65th birthday of Alexander Kruger. Optimization 69:12, pages 2509-2514.
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Diethard Klatte & Bernd Kummer. (2006) Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms. Optimization 55:5-6, pages 627-660.
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Alexander Kruger. (2004) Weak Stationarity: Eliminating the gap between necessary and sufficient conditions. Optimization 53:2, pages 147-164.
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Articles from other publishers (25)

O. I. Kostyukova, T. V. Tchemisova & O. S. Dudina. (2020) Immobile Indices and CQ-Free Optimality Criteria for Linear Copositive Programming Problems. Set-Valued and Variational Analysis 28:1, pages 89-107.
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Hoa T. Bui & Alexander Y. Kruger. (2018) Extremality, Stationarity and Generalized Separation of Collections of Sets. Journal of Optimization Theory and Applications 182:1, pages 211-264.
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R. Cibulka, M. Fabian & A.Y. Kruger. (2019) On semiregularity of mappings. Journal of Mathematical Analysis and Applications 473:2, pages 811-836.
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Wim van Ackooij & Pedro Pérez-Aros. (2019) Generalized Differentiation of Probability Functions Acting on an Infinite System of Constraints. SIAM Journal on Optimization 29:3, pages 2179-2210.
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Hoa T. Bui & Alexander Y. Kruger. (2018) About Extensions of the Extremal Principle. Vietnam Journal of Mathematics 46:2, pages 215-242.
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Alexander Y. Kruger & Nguyen H. Thao. (2014) Quantitative Characterizations of Regularity Properties of Collections of Sets. Journal of Optimization Theory and Applications 164:1, pages 41-67.
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Alexander Y. Kruger & Nguyen H. Thao. (2014) About -regularity properties of collections of sets . Journal of Mathematical Analysis and Applications 416:2, pages 471-496.
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Jean-Paul PenotJean-Paul Penot. 2013. Calculus Without Derivatives. Calculus Without Derivatives 463 478 .
Jean-Paul PenotJean-Paul Penot. 2013. Calculus Without Derivatives. Calculus Without Derivatives 407 462 .
Jean-Paul PenotJean-Paul Penot. 2013. Calculus Without Derivatives. Calculus Without Derivatives 357 405 .
Jean-Paul PenotJean-Paul Penot. 2013. Calculus Without Derivatives. Calculus Without Derivatives 263 356 .
Jean-Paul PenotJean-Paul Penot. 2013. Calculus Without Derivatives. Calculus Without Derivatives 187 261 .
Jean-Paul PenotJean-Paul Penot. 2013. Calculus Without Derivatives. Calculus Without Derivatives 117 186 .
Jean-Paul PenotJean-Paul Penot. 2013. Calculus Without Derivatives. Calculus Without Derivatives 1 115 .
Alexander Y. Kruger & Marco A. López. (2012) Stationarity and Regularity of Infinite Collections of Sets. Applications to Infinitely Constrained Optimization. Journal of Optimization Theory and Applications 155:2, pages 390-416.
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Alexander Y. Kruger & Marco A. López. (2012) Stationarity and Regularity of Infinite Collections of Sets. Journal of Optimization Theory and Applications 154:2, pages 339-369.
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Marian J. Fabian, René Henrion, Alexander Y. Kruger & Jiří V. Outrata. (2010) Error Bounds: Necessary and Sufficient Conditions. Set-Valued and Variational Analysis 18:2, pages 121-149.
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Alexander Y. Kruger. (2009) ABOUT STATIONARITY AND REGULARITY IN VARIATIONAL ANALYSIS. Taiwanese Journal of Mathematics 13:6A.
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B. S. Mordukhovich. (2007) Characterizations of linear suboptimality for mathematical programs with equilibrium constraints. Mathematical Programming 120:1, pages 261-283.
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Boris S. Mordukhovich. (2007) Necessary and sufficient conditions for linear suboptimality in constrained optimization. Journal of Global Optimization 40:1-3, pages 225-244.
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Alexander Y. Kruger. 2009. Encyclopedia of Optimization. Encyclopedia of Optimization 2658 2664 .
Alexander Ya. Kruger. (2006) About Regularity of Collections of Sets. Set-Valued Analysis 14:2, pages 187-206.
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A. Kruger. 2006. Systems, Control, Modeling and Optimization. Systems, Control, Modeling and Optimization 205 214 .
Boris S. Mordukhovich, Jay S. Treiman & Qiji J. Zhu. (2003) An Extended Extremal Principle with Applications to Multiobjective Optimization. SIAM Journal on Optimization 14:2, pages 359-379.
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Diethard Klatte & Bernd Kummer. (2002) Constrained Minima and Lipschitzian Penalties in Metric Spaces. SIAM Journal on Optimization 13:2, pages 619-633.
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