On Hukuhara's differentiable iteration semigroups of linear set-valued functions

DOI10.1007/s00010-016-0441-zzbMath1369.47051OpenAlexW2527816332MaRDI QIDQ727951

Masoumeh Aghajani, Kourosh Nourouzi

Publication date: 21 December 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-016-0441-z

zbMATH Keywords

iterationsHukuhara's derivativeCauchy problem for a set-valued differential equationlinear set-valued functionsRiemann integral for set-valued functions

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Groups and semigroups of linear operators (47D03) Iteration theory, iterative and composite equations (39B12) Derivatives of functions in infinite-dimensional spaces (46G05) Linear relations (multivalued linear operators) (47A06)

Related Items (4)

On increasing iteration semigroup of Jensen set-valued functions ⋮ Regular cosine families of linear set-valued functions ⋮ An extension of the Rådström cancellation theorem to cornets ⋮ Hukuhara differentiability of continuous sine and cosine families of linear set-valued functions

Cites Work

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• On the regular cosine family of linear correspondences
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• Hukuhara's Derivative and Concave Iteration Semigroups of Linear Set-Valued Functions
• On a Multivalued Differential Problem
• INTEGRAL REPRESENTATIONS OF CONVEX AND CONCAVE SET-VALUED FUNCTIONS
• Hukuhara's differentiable iteration semigroups of linear set-valued functions
• An Embedding Theorem for Spaces of Convex Sets

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