Hölder continuity of generalized convex set-valued mappings

DOI10.1006/jmaa.2000.7150zbMath0989.46043OpenAlexW1968711759MaRDI QIDQ5929366

Tiberiu Trif

Publication date: 21 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7150

zbMATH Keywords

Hölder continuity\(s\)-convex mappingMinkowski functionsset-valued mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Set-valued operators (47H04) Convexity of real functions of several variables, generalizations (26B25) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Related Items (3)

Bernstein-Doetsch-type criteria for the continuity and Lipschitz continuity of convex set-valued mappings ⋮ \(s\)-convex fuzzy processes ⋮ Convex extensions of the convex set valued maps

Cites Work

• On midpoint convex set-valued functions
• Some remarks on \(s\)-convex functions
• \(s\)-Orlicz convex functions in linear spaces and Jensen's discrete inequality
• Equicontinuity of Families of Convex and Concave-Convex Operators
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Lipschitzian properties of multifunctions
• Hölder-continuity of certain generalized convex functions
• Another Proof that Convex Functions are Locally Lipschitz
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