On the coincidence of some subdifferentials in the class of α(.)-paraconvex functions

DOI10.1080/02331930108844568zbMath1008.52003OpenAlexW2159416805MaRDI QIDQ4531538

Stefan Rolewicz

Publication date: 19 June 2002

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930108844568

zbMATH Keywords

ClarkeDini\(\alpha(\cdot)\)-subgradientsstrongly \(\alpha (\cdot)\)-paraconvex functions

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

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Cites Work

• Approximate subdifferentials and applications 3: the metric theory
• Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
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