Dual characterizations of relative continuity of convex functions

DOI10.1017/S1446788700002615zbMath0999.47036MaRDI QIDQ2726688

Joël Benoist, Aris Daniilidis

Publication date: 6 September 2001

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

characterizationssubdifferentialsubdifferentiabilitylower semicontinuous convex functions\(\sigma\)-cyclically monotonestrongly cyclically monotone

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convex functions and convex programs in convex geometry (52A41)

Cites Work

• Unnamed Item
• Convex functions, monotone operators and differentiability.
• On the subdifferentials of quasiconvex and pseudoconvex functions and cyclic monotonicity
• On the maximal monotonicity of subdifferential mappings
• Characterization of Lower Semicontinuous Convex Functions
• Mean Value Property and Subdifferential Criteria for Lower Semicontinuous Functions

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