Fritz John necessary optimality conditions of the alternative-type

DOI10.1007/s10957-013-0456-8zbMath1307.90197OpenAlexW2156282532MaRDI QIDQ398645

Fabián Flores-Bazan

Publication date: 15 August 2014

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

Full work available at URL: http://hdl.handle.net/10533/148113

zbMATH Keywords

nonlinear programmingKKT conditionsFritz John conditions

Mathematics Subject Classification ID

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

Related Items (4)

A sharp Lagrange multiplier theorem for nonlinear programs ⋮ Nonlinear programming via König's maximum theorem ⋮ Characterizing FJ and KKT Conditions in Nonconvex Mathematical Programming with Applications ⋮ Revisiting the Hahn-Banach theorem and nonlinear infinite programming

Cites Work

• An elementary proof of the Fritz-John and Karush-Kuhn-Tucker conditions in nonlinear programming
• An optimal alternative theorem and applications to mathematical programming
• A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization
• Contingent cone to a set defined by equality and inequality constraints at a Fréchet differentiable point
• Necessary optimality criteria in mathematical programming in the presence of differentiability
• Gordan-Type Alternative Theorems and Vector Optimization Revisited
• Nonlinear Programming
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