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On $T_\beta$-contractive mappings: Fixed point results with an application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 223، دوره 13، شماره 2، مهر 2022، صفحه 2771-2779 اصل مقاله (360.87 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26396.3304 | ||
| نویسندگان | ||
| Youssef Touail* ؛ Driss El Moutawakil | ||
| Equipe de Recherche en Mathematiques Appliquees, Technologies de l'Information et de la Communication Faculte Polydisciplinare de Khouribga, Universite Sultan Moulay Slimane de Beni-Mellal, Morocco | ||
| تاریخ دریافت: 04 اسفند 1400، تاریخ بازنگری: 08 خرداد 1401، تاریخ پذیرش: 04 تیر 1401 | ||
| چکیده | ||
| We introduce the concept of $T_\beta$-contractive mappings in the framework of bounded metric spaces and prove the existence of a fixed point for such mappings without using neither the compactness nor the uniform convexity of the space. Furthermore, a fixed point theorem for $T_{\beta}$-weakly contractive maps has been given. We point out that, these results generalize and improve many previous works in the literature. Ultimately, one of our theoretical results has been implicated to study the existence of the solution to a class of functional equations arising in dynamic programming under new weak conditions. | ||
| کلیدواژه‌ها | ||
| Fixed point؛ $T_beta$-contractive mappings؛ $T_{beta}$-weakly contractive maps؛ $alpha$-admissible؛ $tau$-distance | ||
| مراجع | ||
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