International Journal of Nonlinear Analysis and Applications

A comparative analysis of hypergroupoids derived from metric spaces

Document Type : Research Paper

Authors

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

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

Abstract

This study investigates the correlation between various hypergroupoids and a specified metric space, examining the distinctive characteristics of this hyperstructure. Through rigorous analysis, our inquiry establishes the potential of these hypergroupoids to function as commutative quasihypergroups. Additionally, we delineate specific conditions under which these hypergroupoids exhibit hypergroup properties, shedding light on the complex interplay of these mathematical structures within the context of the given metric space. Finally, a metric space obtained from a given hypergroupoid is introduced.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 17, Issue 1
January 2026
Pages 1-10
  • Receive Date: 13 April 2024
  • Revise Date: 08 July 2024
  • Accept Date: 16 July 2024