A strong mean value theorem and applications

DOI10.1016/0362-546X(94)00336-6zbMath0855.49010OpenAlexW4248195340MaRDI QIDQ4872299

Dinh The Luc

Publication date: 22 January 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00336-6

zbMATH Keywords

Clarke subdifferentialdirectional derivativesmean-value theoremlower semi-continuousmaximal monotonicity of the subdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Programming in abstract spaces (90C48) Continuity and differentiation questions (26B05)

Related Items (3)

New Multirectional Mean Value Inequality ⋮ Links between directional derivatives through multidirectional mean value inequalities ⋮ Multidirectional Mean Value Inequalities in Quasidifferential Calculus

Cites Work

• Mean value theorems and sufficient optimality conditions for nonsmooth functions
• Mean value theorem for convex functions
• Swimming below icebergs
• On the maximal monotonicity of subdifferentials
• On the variational principle
• Approximate mean value theorem for upper subderivatives
• Optimization and nonsmooth analysis
• On the mean value theorem
• Mean value theorems in nonsmooth analysis
• Characterization of Lower Semicontinuous Convex Functions
• A characterization of convex functions
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