On new generalized differentials with respect to a set and their applications

DOI10.1007/S11228-024-00729-ZzbMATH Open1548.49021MaRDI QIDQ6612098

Jen-Chih Yao, Xiaolong Qin, Vo Duc Thinh

Publication date: 30 September 2024

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

zbMATH Keywords

optimality conditionsubdifferential with respect to a setAubin property with respect to a setcoderivative with respect to a setnormal cone with respect to a set

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)

Cites Work

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• Variational Analysis
• Tilt Stability of a Local Minimum
• Subdifferentials and derivatives with respect to a set and applications to optimization
• Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
• Implicit Functions and Solution Mappings
• Relative Lipschitz-like Property of Parametric Systems via Projectional Coderivatives

Related Items (2)

A variational approach to stability relative to a set of single-valued and set-valued mappings ⋮ Formulas for calculating generalized differentials with respect to a set and their applications

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