International Journal of Nonlinear Analysis and Applications

Hyperoperations on metric spaces: A new frontier

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematical Sciences, Yazd University, Yazd, Iran

2 Department of Mathematics, Payame Noor University, Tehran, Iran

10.22075/ijnaa.2024.33567.5008

Abstract

This paper introduces novel hyperoperations on metric spaces. While generally non-commutative, these hyperoperations satisfy the weak commutative property. We further establish necessary and sufficient conditions for associativity. Finally, we obtain a class of Γ-Hv-groups.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 21 January 2025
  • Receive Date: 17 March 2024
  • Revise Date: 22 June 2024
  • Accept Date: 29 June 2024