A new proof of the Kuhn-Tucker and Farkas theorems

DOI10.1134/S0965542518070072zbMath1408.46069OpenAlexW2888380322MaRDI QIDQ1991635

Yuri G. Evtushenko, Alexey A. Tret'yakov

Publication date: 30 October 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518070072

zbMATH Keywords

local minimumoptimality conditionsprojectionconvex hullFarkas' lemmaKuhn-Tucker theorem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The relationship between theorems of the alternative, least norm problems, steepest descent directions, and degeneracy: A review
• A new class of theorems of the alternative
• pth-order approximation of the solution set of nonlinear equations
• An elementary proof of the Karush–Kuhn–Tucker theorem in normed linear spaces for problems with a finite number of inequality constraints
• On the Development of Optimization Theory
• Classroom Note:An Elementary Proof of Farkas' Lemma

This page was built for publication: A new proof of the Kuhn-Tucker and Farkas theorems