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

Autor: Saeed Anwar, Muhammad Nazam, Hamed H Al Sulami, Aftab Hussain, Khalil Javed, Muhammad Arshad
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 5, Pp 8188-8205 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022456?viewType=HTML
Popis: 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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