Stability of implicit multifunctions in Asplund spaces

DOI10.11650/twjm/1500405272zbMath1169.49012OpenAlexW1737349770MaRDI QIDQ1025694

Jen-Chih Yao, Nguyen Quang Huy

Publication date: 23 June 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405272

zbMATH Keywords

Ekeland variational principleimplicit multifunctionFréchet coderivativemetric regularity in Robinson's senseMordukhovich normal coderivativeLipschitz stability in Aubin's sense

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (9)

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 ⋮ Lipschitz-like property of an implicit multifunction and its applications ⋮ Calmness of efficient solution maps in parametric vector optimization ⋮ Openness results for parametric set-valued mappings in Asplund spaces ⋮ Stability of random implicit multifunctions in separable Asplund spaces ⋮ Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions ⋮ Hölder-Like Property and Metric Regularity of a Positive-Order for Implicit Multifunctions

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