Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (4): 1105-1115.doi: 10.1007/s10473-020-0416-y

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ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS

Hamid KHODAEI1, Iz-iddine EL-FASSI2, Bahman HAYATI1   

  1. 1. Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran;
    2. Department of Mathematics, Faculty of Sciences and Techniques, Sidi Mohamed ben Abdellah University, B. P. 2202, Fez, Morocco
  • Received:2019-03-19 Revised:2019-08-30 Online:2020-08-25 Published:2020-08-21

Abstract: 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.

Key words: set-valued dynamics, Euler-Lagrange inclusion, composite operator, selection

CLC Number: 

  • 54C60
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