Coincidence Point of Edelstein Type Mappings in Fuzzy Metric Spaces and Application to the Stability of Dynamic Markets-Reference-Cited by-同舟云学术

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

Published:2023-09-01 Issue:9 Volume:12 Page:854
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Shukla Satish¹^ORCID,Dubey Nikita¹^ORCID,Shukla Rahul²^ORCID,Mezník Ivan³

Affiliation:

1. Department of Mathematics, Shri Vaishnav Institute of Science, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Gram Baroli Sanwer Road, Indore 453111, India

2. Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

3. Institute of Informatics, Faculty of Business and Management, Brno University of Technology, Kolejni 2906/4, 612 00 Brno, Czech Republic

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/854/pdf

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