Lipschitz-like property of an implicit multifunction and its applications

DOI10.1016/j.na.2011.06.005zbMath1228.49042OpenAlexW1997348293MaRDI QIDQ640151

Thai Doan Chuong

Publication date: 17 October 2011

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.2011.06.005

zbMATH Keywords

coderivativeimplicit multifunctionparametric vector optimizationLipschitz-likeefficient solution map

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Regularity of solutions in optimal control (49N60)

Related Items (7)

On Lipschitz continuity of approximate solutions to set-valued equilibrium problems via nonlinear scalarization ⋮ Stability of implicit multifunctions in Banach spaces ⋮ A note on implicit multifunction theorems ⋮ Openness results for parametric set-valued mappings in Asplund spaces ⋮ Stability of implicit multifunctions via point-based criteria and applications ⋮ Hölder-Like Property and Metric Regularity of a Positive-Order for Implicit Multifunctions ⋮ Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems

Cites Work

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