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.
Citation: Saeed Anwar, Muhammad Nazam, Hamed H Al Sulami, Aftab Hussain, Khalil Javed, Muhammad Arshad. Existence fixed-point theorems in the partial $ b $-metric spaces and an application to the boundary value problem[J]. AIMS Mathematics, 2022, 7(5): 8188-8205. doi: 10.3934/math.2022456
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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Saeed Anwar, Muhammad Nazam, Hamed H Al Sulami, Aftab Hussain, Khalil Javed, Muhammad Arshad. Existence fixed-point theorems in the partial $ b $-metric spaces and an application to the boundary value problem[J]. AIMS Mathematics, 2022, 7(5): 8188-8205. doi: 10.3934/math.2022456
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