New stability results for Ekeland's \(\varepsilon\) variational principles for vector-valued and set-valued maps

DOI10.1006/jmaa.2000.7357zbMath1053.49019OpenAlexW1999548725MaRDI QIDQ5952251

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Publication date: 12 January 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7357

zbMATH Keywords

stabilityset-valued mapsMosco convergenceextreme pointsEkeland's variational principlePainlevé-Kuratowski convergencevector-valued maps

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Programming in abstract spaces (90C48)

Related Items

Variants of the Ekeland variational principle for a set-valued map involving the Clarke normal cone ⋮ The Ekeland variational principle for Henig proper minimizers and super minimizers ⋮ On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings ⋮ The Ekeland variational principle for set-valued maps involving coderivatives ⋮ Some new results on stability of Ekeland's \(\varepsilon\)-variational principle ⋮ Some variants of the Ekeland variational principle for a set-valued map ⋮ A mountain pass-type theorem for vector-valued functions

Cites Work

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• A unified approach to the existing three types of variational principles for vector valued functions
• Ekeland's \(\varepsilon\)-variational principle for set-valued mappings
• Stability results for Ekeland's \(\varepsilon\) variational principle for vector valued functions
• General Ekeland's variational principle for set-valued mappings.
• Stability Results for Ekeland's ε Variational Principle for Set-Valued Mappings
• Stability Results for Ekeland's ε-Variational Principle and Cone Extremal Solutions
• Set-valued analysis

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