Fixed point result in controlled fuzzy metric spaces with application to dynamic market equilibrium

Rakesh Tiwari; Vladimir Rakočević; Shraddha Rajput

Kybernetika (2022)

  • Volume: 58, Issue: 3, page 335-353
  • ISSN: 0023-5954

Abstract

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In this paper, we introduce Θ f -type controlled fuzzy metric spaces and establish some fixed point results in this spaces. We provide suitable examples to validate our result. We also employ an application to substantiate the utility of our established result for finding the unique solution of an integral equation emerging in the dynamic market equilibrium aspects to economics.

How to cite

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Tiwari, Rakesh, Rakočević, Vladimir, and Rajput, Shraddha. "Fixed point result in controlled fuzzy metric spaces with application to dynamic market equilibrium." Kybernetika 58.3 (2022): 335-353. <http://eudml.org/doc/298889>.

@article{Tiwari2022,
abstract = {In this paper, we introduce $\Theta _f$-type controlled fuzzy metric spaces and establish some fixed point results in this spaces. We provide suitable examples to validate our result. We also employ an application to substantiate the utility of our established result for finding the unique solution of an integral equation emerging in the dynamic market equilibrium aspects to economics.},
author = {Tiwari, Rakesh, Rakočević, Vladimir, Rajput, Shraddha},
journal = {Kybernetika},
keywords = {fixed point; fuzzy metric spaces; controlled fuzzy metric spaces; fuzzy $\Theta _f$-contractive mapping; dynamic market equilibrium},
language = {eng},
number = {3},
pages = {335-353},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fixed point result in controlled fuzzy metric spaces with application to dynamic market equilibrium},
url = {http://eudml.org/doc/298889},
volume = {58},
year = {2022},
}

TY - JOUR
AU - Tiwari, Rakesh
AU - Rakočević, Vladimir
AU - Rajput, Shraddha
TI - Fixed point result in controlled fuzzy metric spaces with application to dynamic market equilibrium
JO - Kybernetika
PY - 2022
PB - Institute of Information Theory and Automation AS CR
VL - 58
IS - 3
SP - 335
EP - 353
AB - In this paper, we introduce $\Theta _f$-type controlled fuzzy metric spaces and establish some fixed point results in this spaces. We provide suitable examples to validate our result. We also employ an application to substantiate the utility of our established result for finding the unique solution of an integral equation emerging in the dynamic market equilibrium aspects to economics.
LA - eng
KW - fixed point; fuzzy metric spaces; controlled fuzzy metric spaces; fuzzy $\Theta _f$-contractive mapping; dynamic market equilibrium
UR - http://eudml.org/doc/298889
ER -

References

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