On selections of set-valued Euler-Lagrange inclusions with applications

We discuss the set-valued dynamics related to the theory of functional equations. We look for selections of convex set-valued functions satisfying set-valued Euler-Lagrange inclusions. We improve and extend upon some of the results in [13, 20], but under weaker assumptions. Some applications of our...

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Veröffentlicht in:Acta mathematica scientia 2020-07, Vol.40 (4), p.1105-1115
Hauptverfasser: Khodaei, Hamid, El-Fassi, Iz-iddine, Hayati, Bahman
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creator Khodaei, Hamid
El-Fassi, Iz-iddine
Hayati, Bahman
description We discuss the set-valued dynamics related to the theory of functional equations. We look for selections of convex set-valued functions satisfying set-valued Euler-Lagrange inclusions. We improve and extend upon some of the results in [13, 20], but under weaker assumptions. Some applications of our results are also provided.
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Mathematics
Mathematics and Statistics
title On selections of set-valued Euler-Lagrange inclusions with applications
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