Jleli and Samet introduced the notion of $ \mathcal{F} $-metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of these generalized metric spaces. The aim of this article is to utilize $ \mathcal{F} $-metric space and establish some common $ \alpha $-fuzzy fixed point theorems for rational ($ \beta $-$ \phi) $-contractive conditions. Our results extend, generalize and unify some well-known results in the literature. As application of our main result, we discuss the solution of fuzzy integrodifferential equations in the setting of a generalized Hukuhara derivative.
Citation: Amer Hassan Albargi, Jamshaid Ahmad. Fixed point results of fuzzy mappings with applications[J]. AIMS Mathematics, 2023, 8(5): 11572-11588. doi: 10.3934/math.2023586
Jleli and Samet introduced the notion of $ \mathcal{F} $-metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of these generalized metric spaces. The aim of this article is to utilize $ \mathcal{F} $-metric space and establish some common $ \alpha $-fuzzy fixed point theorems for rational ($ \beta $-$ \phi) $-contractive conditions. Our results extend, generalize and unify some well-known results in the literature. As application of our main result, we discuss the solution of fuzzy integrodifferential equations in the setting of a generalized Hukuhara derivative.
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Amer Hassan Albargi, Jamshaid Ahmad. Fixed point results of fuzzy mappings with applications[J]. AIMS Mathematics, 2023, 8(5): 11572-11588. doi: 10.3934/math.2023586
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