International Journal of Nonlinear Analysis and Applications

Fixed point theorems for (ϕ,F)-contraction b-rectangular asymmetric metric spaces

Articles in Press

Document Type : Research Paper

Authors

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

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

10.22075/ijnaa.2022.26204.3260

Abstract

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 (ϕ,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.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 14 March 2025
  • Receive Date: 07 February 2022
  • Accept Date: 08 April 2022