Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions

DOI10.1016/j.na.2009.12.039zbMath1186.49015OpenAlexW2072522538MaRDI QIDQ960884

Jen-Chih Yao, Nguyen Huy Chieu, Nguyen Dong Yen

Publication date: 29 March 2010

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.2009.12.039

zbMATH Keywords

implicit multifunctionrelationshipLipschitz-like propertynormal coderivativeRobinson metric regularity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Set-valued operators (47H04) Regularity of solutions in optimal control (49N60) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (12)

Some results on sensitivity analysis in set-valued optimization ⋮ Stability of implicit multifunctions in Banach spaces ⋮ Robinson metric regularity of parametric variational systems ⋮ Stability and sensitivity analysis of solutions to weak vector variational inequalities ⋮ A note on implicit multifunction theorems ⋮ Notes on Lipschitz properties of nonlinear scalarization functions with applications ⋮ Fréchet and normal coderivatives of implicit multifunctions ⋮ Sensitivity analysis of parametric weak vector equilibrium problems ⋮ Robinson Stability of Parametric Constraint Systems via Variational Analysis ⋮ Coderivatives and the Solution Map of a Linear Constraint System ⋮ Hölder-Like Property and Metric Regularity of a Positive-Order for Implicit Multifunctions ⋮ The stationary point set map in general parametric optimization problems

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