Kari, Abdelkarim, Rossafi, Mohamed, Lee, Jung Rye, Park, Choonkil. (1404). Fixed point theorems for $(\phi, F)$-contraction b-rectangular asymmetric metric spaces. هنرهای کاربردی, 17(3), 1-14. doi: 10.22075/ijnaa.2022.26204.3260
Abdelkarim Kari; Mohamed Rossafi; Jung Rye Lee; Choonkil Park. "Fixed point theorems for $(\phi, F)$-contraction b-rectangular asymmetric metric spaces". هنرهای کاربردی, 17, 3, 1404, 1-14. doi: 10.22075/ijnaa.2022.26204.3260
Kari, Abdelkarim, Rossafi, Mohamed, Lee, Jung Rye, Park, Choonkil. (1404). 'Fixed point theorems for $(\phi, F)$-contraction b-rectangular asymmetric metric spaces', هنرهای کاربردی, 17(3), pp. 1-14. doi: 10.22075/ijnaa.2022.26204.3260
Kari, Abdelkarim, Rossafi, Mohamed, Lee, Jung Rye, Park, Choonkil. Fixed point theorems for $(\phi, F)$-contraction b-rectangular asymmetric metric spaces. هنرهای کاربردی, 1404; 17(3): 1-14. doi: 10.22075/ijnaa.2022.26204.3260

Fixed point theorems for $(\phi, F)$-contraction b-rectangular asymmetric metric spaces

International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 17، شماره 3، خرداد 2026، صفحه 1-14    اصل مقاله (423.88 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
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
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