Generalized derivatives of a region function and its applications

DOI10.1007/BF02015259zbMath0659.28002MaRDI QIDQ1112197

Chong He

Publication date: 1987

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

generalized mean-value theoremClarke's generalized derivativesFréchet generalized derivativesgeneralized derivatives of a region function

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Real- or complex-valued set functions (28A10) Implicit function theorems, Jacobians, transformations with several variables (26B10) Abstract differentiation theory, differentiation of set functions (28A15)

Cites Work

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• Function of region
• On the inverse function theorem
• Asymptotic behavior for differential equations which cannot be locally linearized
• On generalized differentials and subdifferentials of Lipschitz vector-valued functions
• Generalized Gradients and Applications

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