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Existence fixed-point theorems in the partial b-metric spaces and an application to the boundary value problem
Journal article   Open access  Peer reviewed

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

Saeed Anwar, Muhammad Nazam, Hamed H. Al Sulami, Aftab Hussain, Khalil Javed, Muhammad Arshad and Department of Mathematics, Allama Iqbal Open University, Islamabad, Pakistan
AIMS mathematics, Vol.7(5), pp.8188-8205
01/01/2022
DOI: https://doi.org/10.3934/math.2022456

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.3934/math.2022456View
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