TRANSVERSALITY, REGULARITY AND ERROR BOUNDS IN VARIATIONAL ANALYSIS AND OPTIMISATION

DOI10.1017/S0004972722000533zbMath1495.49001OpenAlexW4281840000MaRDI QIDQ5097531

Nguyen Duy Cuong

Publication date: 25 August 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000533

zbMATH Keywords

error boundstransversalityvariational analysismetric regularity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

Cites Work

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• Primal necessary characterizations of transversality properties
• Dual sufficient characterizations of transversality properties
• Transversality properties: primal sufficient conditions
• Some new characterizations of intrinsic transversality in Hilbert spaces
• Geometric and metric characterizations of transversality properties
• Functional Analysis, Calculus of Variations and Optimal Control
• Variational Analysis
• An Extended Extremal Principle with Applications to Multiobjective Optimization
• Variational Analysis of Regular Mappings
• Error bounds revisited

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