Irregular optimization models and \(p\)-order Kuhn-Tucker optimality conditions

DOI10.1134/S1064230714030149zbMath1311.49052OpenAlexW2016601084MaRDI QIDQ2263906

Alexey A. Tret'yakov, Ewa Szczepanik

Publication date: 19 March 2015

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064230714030149

zbMATH Keywords

Kuhn-Tucker optimality conditionsirregular optimization models

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• On the existence of solutions to nonlinear equations involving singular mappings with non-zero \(p\)-kernel
• The \(p\)th order optimality conditions for nonregular optimization problems
• \(p\)-factor methods for nonregular inequality-constrained optimization problems
• The \(p\)th-order optimality conditions for inequality constrained optimization problems
• Transportation problems with a minimax criterion
• Optimality conditions for degenerate extremum problems with inequality- type constraints
• Iterative functional modification method for solving a transportation problem
• Necessary conditions for an extremum in a mathematical programming problem
• Optimality Conditions for Degenerate Extremum Problems with Equality Constraints

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