Hyers-Ulam stability and well-posedness for fixed point problems on quasi $b$-metric spaces

نویسندگان

1 Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniya, Iraq

2 Institut Superieur d'Informatique et des Techniques de Communication, Universite de Sousse, Hammam Sousse 4000, Tunisia

doi
10.22075/ijnaa.2022.25875.3149
چکیده

In this paper, we ensure the existence of a unique fixed point in quasi $b$-metric spaces for some contraction mappings requiring the concept of $\Psi ^ {*}$-admissibility. The Ulam-Hyers stability and well-posedness of these fixed point results have been studied and investigated. The obtained results generalize and extend many known results in the literature.