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Fixed point theorems on orthogonal complete metric spaces with an application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1801-1809 اصل مقاله (377.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23033.2464 | ||
| نویسندگان | ||
| Youssef Touail* ؛ Driss El Moutawakil | ||
| Equipe de Recherche en Math'{e}matiques Appliqu'{e}es, Technologies de l'Information et de la Communication Facult'{e} Polydisciplinare de Khouribga, Universit'{e} Sultan Moulay Slimane de Beni-Mellal, Morocco | ||
| تاریخ دریافت: 12 اسفند 1399، تاریخ بازنگری: 22 فروردین 1400، تاریخ پذیرش: 08 اردیبهشت 1400 | ||
| چکیده | ||
| In this paper, we introduce the concept of orthogonal contractive mappings and prove some fixed point theorems for such contractions. We establish our results in orthogonal bounded complete metric spaces via the notion of $\tau-$distances. Moreover, an application to a differential equation is given. | ||
| کلیدواژهها | ||
| Fixed point؛ O-complete metric space؛ O-contractive map؛ $\perp$-E-weakly contractive map؛ $\tau$-distance؛ Hausdorff topological space | ||
| مراجع | ||
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