Come Back to Lagrange. Thep-Factor Analysis of Optimality Conditions

DOI10.1080/01630563.2010.505227zbMath1208.49029OpenAlexW1976466746MaRDI QIDQ3058360

Alexey A. Tret'yakov, Olga A. Brezhneva

Publication date: 19 November 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.505227

zbMATH Keywords

degeneracy\(p\)-regularityequality constrained optimization problemsgeneralized necessary conditions

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Optimality conditions for problems in abstract spaces (49K27)

Related Items

Nonregular mixed-constrained optimization problems

Cites Work

• Unnamed Item
• Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
• The \(p\)th order optimality conditions for nonregular optimization problems
• The \(p\)th-order optimality conditions for inequality constrained optimization problems
• Factor-analysis of nonlinear mappings: \(p\)-regularity theory
• Second-order conditions for extremum problems with nonregular equality constraints
• P-Factor-Approach to Degenerate Optimization Problems
• Necessary and sufficient conditions for optimality of p-th order
• Extremum conditions for smooth problems with equality-type constraints
• High-Order Approximations and Generalized Necessary Conditions for Optimality
• A high-order generalization of the Lyusternik theorem
• Optimality Conditions for Degenerate Extremum Problems with Equality Constraints
• Optimality Conditions for Irregular Inequality-Constrained Problems
• QUADRATIC CONDITIONS FOR A PONTRYAGIN MINIMUM IN AN OPTIMAL CONTROL PROBLEM LINEAR IN THE CONTROL. II. THEOREMS ON WEAKENING EQUALITY CONSTRAINTS
• The implicit function theorem in degenerate problems
• Thep-Factor-Lagrange Methods for Degenerate Nonlinear Programming
• The Theory of 2-Regularity for Mappings with Lipschitzian Derivatives and its Applications to Optimality Conditions