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

Document Type : Research Paper


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

3 China Medical University Hospital, China Medical University, Taichung 40402, Taiwan


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.


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Volume 14, Issue 2
February 2023
Pages 101-110
  • Receive Date: 11 January 2022
  • Revise Date: 23 March 2022
  • Accept Date: 01 April 2022