Publication result detail

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

SHUKLA, S.; DUBEY, N.; SHUKLA, R.; MEZNÍK, I.

Original Title

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

English Title

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

Type

WoS Article

Original 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.

English 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.

Keywords

Edelstein mapping; fuzzy metric space; coincidence point; dynamic market; demand and supply functions; sensitivity index; equilibrium point

Key words in English

Edelstein mapping; fuzzy metric space; coincidence point; dynamic market; demand and supply functions; sensitivity index; equilibrium point

Authors

SHUKLA, S.; DUBEY, N.; SHUKLA, R.; MEZNÍK, I.

RIV year

2024

Released

01.09.2023

Publisher

MDPI

Location

BASEL

ISBN

2075-1680

Periodical

Axioms

Volume

12

Number

9

State

Swiss Confederation

Pages from

1

Pages to

14

Pages count

14

URL

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

Full text in the Digital Library

http://hdl.handle.net/11012/214446

BibTex

@article{BUT184539,
  author="Satish {Shukla} and Nikita {Dubey} and Rahul {Shukla} and Ivan {Mezník}",
  title="Coincidence Point of Edelstein Type Mappings in Fuzzy Metric Spaces and Application to the Stability of Dynamic Markets",
  journal="Axioms",
  year="2023",
  volume="12",
  number="9",
  pages="1--14",
  doi="10.3390/axioms12090854",
  url="https://www.mdpi.com/2075-1680/12/9/854"
}

Documents

axioms-12-00854-v2