Fixed Point Theorems in 2-Metric Space for Some Contractive Conditions

doi:10.20431/2347-3142.0601003

International Journal of Scientific and Innovative Mathematical

2018

DOI: 10.20431/2347-3142.0601003

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Fixed Point Theorems in 2-Metric Space for Some Contractive Conditions

Abstract: The function d is called 2 metric for the space X and (X,d) is called 2-metric space. "Geometrically 2-metric represent the area".

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“…Matthews [12] was one of them, and in 1994, he defined a normal metric spaces are generalised to partial metric spaces. Lateef [10] used contractive to prove fixed point theorems in 2-metric spaces. Abu Donia et al also proposed an idea of partial 2-metric spaces in [5].…”

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Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems

Safaa

Abu-Donia

Atia

2023

Bulletin of Faculty of Science, Zagazig University

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There are a lot of generalizations of the concept of metric space . In this paper we using some fixed point theorems in partial 2-metric spaces and given an examples in it . And We propose the idea of Cyclic (ψ,φ,A,B)-Contraction in partial 2-metric spaces and investigate fixed point theorems for mappings meeting cyclical generalised contractive requirements in full partial 2-metric spaces in this research . The goal of this paper is to present some fixed point theorems for a mapping meeting a cyclical generalised contractive condition in partial 2-metric spaces based on a pair of altering distance functions . We establish that these mappings necessarily have unique fixed points in complete 2-metric spaces . Fixed point theorems for some contractions from this class are introduced and illustrative examples are given . Our results in that paper also generalises an existing result in 2-metric spaces .

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confidence: 99%

Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems

Safaa

Abu-Donia

Atia

2023

Bulletin of Faculty of Science, Zagazig University

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Fixed Point Theorems in Partial 2-Metric Spaces

Zhang

2022

Wseas Transactions on Mathematics

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A simplified linear time-fractional SEIR epidemic system is set forth, and an inverse problem of determining the fractional order is discussed by using the measurement at one given time. By the Laplace transform the solution to the forward problem is obtained, by which the inverse problem is transformed to a nonlinear algebraic equation. By choosing suitable model parameters and the measured time, the nonlinear equation has a unique solution by the monotonicity of the Mittag-Leffler function. Theoretical testification is presented to demonstrate the unique solvability of the inverse problem.

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Fixed Point Theorems in 2-Metric Space for Some Contractive Conditions

Abstract: The function d is called 2 metric for the space X and (X,d) is called 2-metric space. "Geometrically 2-metric represent the area".

Cited by 2 publications

References 6 publications

Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems

Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems

Fixed Point Theorems in Partial 2-Metric Spaces

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