Axioms (Sep 2023)

Coincidence Point of Edelstein Type Mappings in Fuzzy Metric Spaces and Application to the Stability of Dynamic Markets

  • Satish Shukla,
  • Nikita Dubey,
  • Rahul Shukla,
  • Ivan Mezník

DOI
https://doi.org/10.3390/axioms12090854
Journal volume & issue
Vol. 12, no. 9
p. 854

Abstract

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In this paper, we prove a coincidence point result for a pair of mappings satisfying Edelstein-type contractive condition on fuzzy metric spaces. We describe the equilibrium of a simple demand–supply model of a dynamic market by the coincidence point of demand and supply functions. With the help of the coincidence point theorem in fuzzy metric spaces, it is showed that a dynamic market of a supply-sensitive nature (or demand-sensitive nature) always tends towards its equilibrium.

Keywords