Open AccessExistence 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.