Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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MULTI-JENSEN AND MULTI-EULER-LAGRANGE ADDITIVE MAPPINGS

  • Abasalt Bodaghi (Department of Mathematics West Tehran Branch Islamic Azad University) ;
  • Amir Sahami (Department of Mathematics Faculty of Basic Science Ilam University)
  • Received : 2023.07.07
  • Accepted : 2024.05.31
  • Published : 2024.07.31
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Abstract

In this work, an alternative fashion of the multi-Jensen is introduced. The structures of the multi-Jensen and the multi-Euler-Lagrange-Jensen mappings are described. In other words, the system of n equations defining each of the mentioned mappings is unified as a single equation. Furthermore, by applying a fixed point theorem, the Hyers-Ulam stability for the multi-Euler-Lagrange-Jensen mappings in the setting of Banach spaces is established. An appropriate counterexample is supplied to invalidate the results in the case of singularity for multiadditive mappings.

Keywords

Acknowledgement

The authors sincerely thank the anonymous reviewer for his/her careful reading, constructive comments that improved the manuscript substantially.

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