@article{Anwar2022, 
author = {Saeed Anwar and Muhammad Nazam and Hamed H Al Sulami and Aftab Hussain and Khalil Javed and Muhammad Arshad},
title = {Existence fixed-point theorems in the partial    b-metric spaces and an application to the boundary value problem},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8188-8205},
keywords = {application, fixed point, multivalued almost contractions, partial b-metric space},
url = {https://www.sciopen.com/article/10.3934/math.2022456},
doi = {10.3934/math.2022456},
abstract = {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.}
}