Point-based sufficient conditions for metric regularity of implicit multifunctions

DOI10.1016/j.na.2008.04.005zbMath1156.49014OpenAlexW1964590033MaRDI QIDQ1006718

Jen-Chih Yao, Nguyen Dong Yen

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.005

zbMATH Keywords

robustnessimplicit multifunctionnormal coderivativelocal metric regularity in Robinson's sensepoint-based sufficient condition

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Regularity of solutions in optimal control (49N60)

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Approximated set-valued mapping approach for handling multiobjective bilevel problems, Implicit multifunction theorems in complete metric spaces, Stability of implicit multifunctions in Banach spaces, The Mordukhovich coderivative and the local metric regularity of the solution map to a parametric discrete optimal control problem, Robinson metric regularity of parametric variational systems, Stability and sensitivity analysis of solutions to weak vector variational inequalities, A note on implicit multifunction theorems, Sensitivity analysis of a stationary point set map under total perturbations. I: Lipschitzian stability, Sensitivity analysis of a stationary point set map under total perturbations. II: Robinson stability, Regularity modulus and radius of set-valued mappings, Fréchet and normal coderivatives of implicit multifunctions, Stability for trust-region methods via generalized differentiation, Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions, Stability of implicit multifunctions via point-based criteria and applications, Coderivatives and the Solution Map of a Linear Constraint System, The stationary point set map in general parametric optimization problems

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