Kybernetika 58 no. 3, 335-353, 2022

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

Rakesh Tiwari, Vladimir Rakočević and Shraddha RajputDOI: 10.14736/kyb-2022-3-0335

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.

Keywords:

fuzzy metric spaces, fixed point, controlled fuzzy metric spaces, fuzzy $\Theta _f$-contractive mapping, dynamic market equilibrium

Classification:

54H25, 47H10, A11

paper.pdf

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