Characteristics of subdifferentials of functions

DOI10.1007/BF00131092zbMath0874.46029OpenAlexW2317119655MaRDI QIDQ1352729

Xing-Ming Guo

Publication date: 19 February 1997

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

Full work available at URL: https://doi.org/10.1007/bf00131092

zbMATH Keywords

Lipschitzconvexity of functionsFenchel-, Fréchet-, Hadamard-, and Gâteaux-subdifferentialsgeneralized mean value theorem

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (2)

Exhausters and subdifferentials in non-smooth analysis ⋮ Reduction of weak exhausters and optimality conditions via reduced weak exhausters

Cites Work

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• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Approximate mean value theorem for upper subderivatives
• Optimization and nonsmooth analysis
• Proximal Analysis and Boundaries of Closed Sets in Banach Space. Part II: Applications
• A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Characterization of Lower Semicontinuous Convex Functions
• Sub differential Monotonicity as Characterization of Convex Functions
• Subgradient monotonicity and convex functions

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