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

	Hyers-Ulam stability and well-posedness for fixed point problems on quasi $b$-metric spaces
International Journal of Nonlinear Analysis and Applications
مقاله 8، دوره 14، شماره 2، اردیبهشت 2023، صفحه 101-110 اصل مقاله (399.11 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25875.3149
نویسندگان
Qusuay Alqifiary¹؛ Hassen Aydi^* ²^{، 3}
¹Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniya, Iraq
²Institut Superieur d'Informatique et des Techniques de Communication, Universite de Sousse, Hammam Sousse 4000, Tunisia
³China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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.
کلیدواژه‌ها
Quasi $b$-metric space؛ Fixed point؛ Ulam-Hyers stability؛ Well posedness
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