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A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization

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Publication:1001320
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DOI10.1007/s11590-008-0096-3zbMath1154.90587OpenAlexW2070850346MaRDI QIDQ1001320

Stephen E. Wright, Alexey A. Tret'yakov, Olga A. Brezhneva

Publication date: 17 February 2009

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-008-0096-3

zbMATH Keywords

nonlinear programmingKarush-Kuhn-Tucker theorem


Mathematics Subject Classification ID

Nonlinear programming (90C30)


Related Items

A short elementary proof of the Lagrange multiplier theorem, Fritz John necessary optimality conditions of the alternative-type, Duality and Convex Programming, An elementary proof of the Karush–Kuhn–Tucker theorem in normed linear spaces for problems with a finite number of inequality constraints



Cites Work

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  • An elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions in nonlinear programming
  • A constructive proof of the Kuhn-Tucker multiplier rule
  • Lagrange Multipliers and Optimality
  • On the Development of Optimization Theory
  • Modern Multiplier Rules
  • The Lagrange Multiplier Rule
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