Existence fixed-point theorems in the partial $ b $-metric spaces and an application to the boundary value problem | Zendy

Saeed Anwar | Zendy; Muhammad Nazam | Zendy; Hamed H. Al Sulami | Zendy; Aftab Hussain | Zendy; Khalil Javed | Zendy; Muhammad Arshad | Zendy

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Existence fixed-point theorems in the partial $ b $-metric spaces and an application to the boundary value problem

Author(s) -

Saeed Anwar,

Muhammad Nazam,

Hamed H. Al Sulami,

Aftab Hussain,

Khalil Javed,

Muhammad Arshad

Publication year - 2022

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2022456

Subject(s) - mathematics , fixed point , fixed point theorem , hausdorff distance , metric space , hausdorff space , boundary value problem , convergence (economics) , value (mathematics) , discrete mathematics , pure mathematics , mathematical analysis , statistics , economics , economic growth

In this paper, we prove some results on the Hausdorff partial $ b $-metrics. We prove some new Lemmas regarding convergence of the sequences in the Hausdorff partial b-metric spaces. The obtained results generalize and improve many existing fixed-point results. The examples are given for the explanation of theory. The existence of the solution to the boundary value problem is proved via fixed-point approach.

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