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Open AccessArticle

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

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Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia
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Department of Mathematics and Computer Science, University of Calabria, Via P. Bucci, 87036 Arcavacata di Rende (CS), Italy
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 584; https://doi.org/10.3390/math8040584
Received: 26 February 2020 / Revised: 3 April 2020 / Accepted: 8 April 2020 / Published: 14 April 2020
(This article belongs to the Special Issue Fixed Point Theory and Related Nonlinear Problems with Applications)
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. View Full-Text
Keywords: nonlinear neutral differential equation; fixed point; generalized (αβ-ψ)-contraction; ℱ-metric spaces nonlinear neutral differential equation; fixed point; generalized (αβ-ψ)-contraction; ℱ-metric spaces
MDPI and ACS Style

Al-Mezel, S.A.; Ahmad, J.; Marino, G. Fixed Point Theorems for Generalized (αβ-ψ)-Contractions in F -Metric Spaces with Applications. Mathematics 2020, 8, 584.

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