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

نویسندگان
Kari, Abdelkarim ID 1
Rossafi, Mohamed ID 2
Park, Choonkil ID 3
Lee, Jung Rye ID 4

1 Laboratory of Analysis, Modeling and Simulation Faculty of Sciences Ben M’Sik, Hassan II University, B.P. 7955 Casablanca, Morocco

2 Laboratory Analysis, Geometry and Applications, Higher School of Education and Training, University of Ibn Tofail, Kenitra, Morocco

3 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea

4 Department of Data Science, Daejin University, Kyunggi 11159, Korea

doi
10.22075/ijnaa.2022.26204.3260
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