Fixed Point Results for Cirić and Almost Contractions in Convex <i>b</i>-Metric Spaces

Abstract

We establish a fixed point theorem for Cirić contraction in the context of convex b-metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex b-metric spaces and demonstrate its uniqueness as well. Supporting examples to substantiate the generality of the proved results are given.

Keywords

• <i>b</i>-metric spaces
• convex metric spaces
• almost contraction