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Separate necessary and sufficient conditions for the local minimum of a function

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Publication:1781872
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DOI10.1007/s10957-004-1726-2zbMath1114.90148OpenAlexW2005187615MaRDI QIDQ1781872

Niranjan Chakravarthy

Publication date: 9 June 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-004-1726-2


zbMATH Keywords

Optimizationnecessary and sufficient conditionsdirectional derivativessecond-order directional derivatives


Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)


Related Items (3)

Optimality conditions for approximate solutions in multiobjective optimization problems ⋮ Second-order optimality conditions with arbitrary nondifferentiable function in scalar and vector optimization ⋮ First and second-order Lagrange claims for set-valued maps



Cites Work

  • Second-order necessary and sufficient conditions in nonsmooth optimization
  • Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
  • On an extended Lagrange claim


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