A fixed point theorem in \(S_b\)-metric spaces


N. Souayah - Department of Natural Sciences, Community College of Riyadh, King Saud University, Riyadh, Saudi Arabia.
N. Mlaiki - Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.


In this paper, we introduce an interesting extension of the \(S\)-metric spaces called \(S_b\)-metric spaces, in which we show the existence of fixed point for a self mapping defined on such spaces. We also prove some results on the topology of the \(S_b\)-metric spaces.