Openness properties for parametric set-valued mappings and implicit multifunctions

DOI10.1016/j.na.2009.06.105zbMath1205.90260OpenAlexW2064011263MaRDI QIDQ1049015

Marius Durea

Publication date: 8 January 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.2009.06.105

zbMATH Keywords

set-valued mappingsmetric regularityopennessimplicit multifunctionsnormal coderivative

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52)

Related Items (5)

Stability of implicit multifunctions in Banach spaces ⋮ Well-posedness and generalized metric subregularity with respect to an admissible function ⋮ A note on implicit multifunction theorems ⋮ Openness results for parametric set-valued mappings in Asplund spaces ⋮ Stability of random implicit multifunctions in separable Asplund spaces

Cites Work

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• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Compactness properties, openness criteria and coderivatives
• On the variational principle
• Implicit multifunction theorems
• Normal coderivative for multifunctions and implicit function theorems
• Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces

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