2022/01/11 by Rossafi, Mohamed, Kari, Abdelkarim
#FOS: Mathematics #General Topology (math.GN) #Metric Geometry (math.MG) #Primary 47H10 #Secondary 54H25
paper · doi:10.48550/arxiv.2201.05689
The Banach contraction principle is the most celebrated fixed point theorem, it has been generalized in various directions. In this paper, inspired by the concept of (ϕ, F)-contraction in metric spaces, introduced by Wardowski. We present the notion of (ϕ, F)-contraction in b-rectangular metric spaces to study the existence and uniqueness of fixed point for the mappings in this spaces. Our results improve many existing results.