Criticality of Lagrange multipliers in extended nonlinear optimization

DOI10.1080/02331934.2020.1723585zbMath1465.90105arXiv1901.01469OpenAlexW3005131591MaRDI QIDQ4986412

Hong-Hai do, Boris S. Mordukhovich, M. Ebrahim Sarabi

Publication date: 27 April 2021

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01469

zbMATH Keywords

variational analysisgeneralized differentiationcomposite optimizationcritical and noncritical multipliersextended nonlinear programmingstability of variational systems

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items

Second order variational analysis of disjunctive constraint sets and its applications to optimization problems, Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization

Cites Work

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• Critical multipliers in variational systems via second-order generalized differentiation
• Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it
• Characterizations of Full Stability in Constrained Optimization
• Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• Variational Analysis and Applications
• Stability of Locally Optimal Solutions
• Criticality of Lagrange Multipliers in Variational Systems
• Newton-Type Methods for Optimization and Variational Problems
• Implicit Functions and Solution Mappings
• Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it