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Fixed point theorems for $(\phi, F)$-contraction b-rectangular asymmetric metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 24 اسفند 1403 اصل مقاله (430.32 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26204.3260 | ||
| نویسندگان | ||
| Abdelkarim Kari1؛ Mohamed Rossafi2؛ Jung Rye Lee* 3؛ Choonkil Park4 | ||
| 1Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, Morocco | ||
| 2Laboratory Analysis, Geometry and Applications, Higher School of Education and Training, University of Ibn Tofail, Kenitra, Morocco | ||
| 3Department of Data Science, Daejin University, Kyunggi 11159, Korea | ||
| 4Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea | ||
| تاریخ دریافت: 18 بهمن 1400، تاریخ پذیرش: 19 فروردین 1401 | ||
| چکیده | ||
| In this work, we introduce the concept of $b$-rectangular asymmetric metric space, which is not necessarily Hausdorff and which generalizes the concept of metric space, rectangular metric space, rectangular asymmetric metric space and $b$-rectangular metric space. Also, we introduce the notion of $(\phi, F)$-contraction and establish some new fixed point theorems for mappings in the setting of complete $b$-generalized asymmetric metric spaces. Our results generalize, improve and extend the corresponding results of Banach and Wardoski. Moreover, an illustrative example is presented to support the obtained results. | ||
| کلیدواژه‌ها | ||
| $(\phi, F)$-contraction؛ fixed point؛ generalized asymmetric metric space | ||
| مراجع | ||
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