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

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
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-020-0416-y