Articles

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

  • Hamid KHODAEI ,
  • Iz-iddine EL-FASSI ,
  • Bahman HAYATI
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  • 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 date: 2019-03-19

  Revised date: 2019-08-30

  Online 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.

Cite this article

Hamid KHODAEI , Iz-iddine EL-FASSI , Bahman HAYATI . ON SELECTIONS OF SET-VALUED EULER-LAGRANGE INCLUSIONS WITH APPLICATIONS[J]. Acta mathematica scientia, Series B, 2020 , 40(4) : 1105 -1115 . DOI: 10.1007/s10473-020-0416-y

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