Barrier functions in the subdifferential theory

zbMath1455.49010arXiv1904.00174MaRDI QIDQ5131657

Nadia P. Zlateva, Milen Ivanov

Publication date: 9 November 2020

Full work available at URL: https://arxiv.org/abs/1904.00174

zbMATH Keywords

monotonicityconvex functionsubdifferentialbarrier function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41)

Cites Work

• Unnamed Item
• Analysis. From concepts to applications
• Subdifferential test for optimality
• On the monotonicity of the gradient of a convex function
• On the theory of subdifferentials
• Functional Analysis, Calculus of Variations and Optimal Control
• Optimization and nonsmooth analysis
• Characterization of Lower Semicontinuous Convex Functions
• Numerical Optimization
• Sub differential Monotonicity as Characterization of Convex Functions
• Maximal monotonicity of the subdifferential of a convex function: a direct proof
• Subgradient monotonicity and convex functions
• A Note on The Zagrodny Mean Value Theorem
• Integrability of subdifferentials of directionally Lipschitz functions

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