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Hussain, Aftab; Ishtiaq, Umar; Ahmed, Khalil; Al-Sulami, Hamed

On pentagonal controlled fuzzy metric spaces with an application to dynamic market equilibrium. (English) Zbl 1481.54006

J. Funct. Spaces 2022, Article ID 5301293, 8 p. (2022).
Summary: In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces. We use a control function in fuzzy controlled hexagonal metric space and introduce five noncomparable control functions in pentagonal controlled fuzzy metric spaces. In the scenario of pentagonal controlled fuzzy metric spaces, we prove the Banach fixed point theorem, which generalizes the Banach fixed point theorem for the aforementioned spaces. An example is offered to support our main point. We also presented an application to dynamic market equilibrium.

Cited in 1 Document

MSC:

54A40 Fuzzy topology
54H25 Fixed-point and coincidence theorems (topological aspects)
91B50 General equilibrium theory
91B52 Special types of economic equilibria

Keywords:

pentagonal controlled fuzzy metric spaces; fuzzy controlled hexagonal metric spaces; control function; fixed point; dynamic market equilibrium
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References:

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