On a new generalization of metric spaces

Jleli, Mohamed; Samet, Bessem

doi:10.1007/s11784-018-0606-6

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2019

2024

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Cited by 106 publications

(135 citation statements)

References 14 publications

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“…In 2016, Gopal et al considered new concepts of α-type F-contractive mappings (see [12]). Very recently, Jleli and Samet [36] mentioned the concept of F -metric space and obtained the generalization of Banach contraction principle.…”

Section: Introductionmentioning

confidence: 99%

Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel

Afshari

Băleanu

2020

Adv Differ Equ

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Section: Introductionmentioning

confidence: 99%

Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel

Afshari

Băleanu

2020

Adv Differ Equ

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“…In 2018, Jleli et al [2] introduced a fascinating generalization of metric space as follows: Let f ∈ F and f : (0, +∞) → R be such that:…”

Section: Introductionmentioning

confidence: 99%

Fixed Point Theorems for Generalized (αβ-ψ)-Contractions in F -Metric Spaces with Applications

2020

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The purpose of this paper is to define generalized ( α β - ψ ) -contraction in the context of F -metric space and obtain some new fixed point results. As applications, we solve a nonlinear neutral differential equation with an unbounded delay ϑ / ( ι ) = − ρ 1 ( ι ) ϑ ( ι ) + ρ 2 ( ι ) L ( ϑ ( ι − ς ( ι ) ) ) + ρ 3 ( ι ) ϑ / ( ι − ς ( ι ) ) , where ρ 1 ( ι ) , ρ 2 ( ι ) are continuous, ρ 3 ( ι ) is continuously differentiable and ς ( ι ) > 0 , for all ι ∈ R and is twice continuously differentiable.

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“…Very recently, Jleli and Samet [14] presented a fascinating generalization of a metric space in the following way.…”

Section: Introductionmentioning

confidence: 99%

Relation theoretic contraction results in F-metric spaces

Alnaser¹,

Lateef²,

Fouad³

et al. 2019

J. Nonlinear Sci. Appl.

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Jleli and Samet in [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages] introduced a new metric space named as F-metric space. They presented a new version of the Banach contraction principle in the context of this generalized metric spaces. The aim of this article is to define relation theoretic contraction and prove some generalized fixed point theorems in F-metric spaces. Our results extend, generalize, and unify several known results in the literature.

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On a new generalization of metric spaces

Abstract: The main purpose of this manuscript is to provide a short proof of the metrizability of F-metric spaces introduced by Jleli and Samet in [3, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128].

Cited by 106 publications

References 14 publications

Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel

Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel

Fixed Point Theorems for Generalized (αβ-ψ)-Contractions in F -Metric Spaces with Applications

Relation theoretic contraction results in F-metric spaces

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