Lower subdifferentiability and integration

DOI10.1023/A:1014460029093zbMath1009.47039MaRDI QIDQ1602981

Aris Daniilidis, Jean-Paul Penot, Mohammed Bachir

Publication date: 24 June 2002

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

quasiconvex functionintegrationlower subdifferentialintegration of a multivalued operator

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Set-valued operators (47H04) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (12)

Multipliers and general Lagrangians ⋮ Gradient Flows, Second-Order Gradient Systems and Convexity ⋮ Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces ⋮ Characterization of solution sets of quasiconvex programs ⋮ Lagrangian approach to quasiconvex programing ⋮ Characterization of Lipschitz continuous difference of convex functions ⋮ The use of the relative interior in integration with nonconvex data ⋮ Integration formulas via the Fenchel subdifferential of nonconvex functions ⋮ Integration of the Fenchel subdifferentials revisited ⋮ Determination of convex functions via subgradients of minimal norm ⋮ Cutting plane algorithms and approximate lower subdifferentiability ⋮ Representation of generalized monotone multimaps

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