Fixed point theorems with cyclical contractive conditions in $b$-Menger spaces

Abstract

In this work, we prove a fixed point theorems in b-Menger spaces (Mbarki et al., Probabilistic b-metric spaces and nonlinear contractions, Fixed Point Theory Appl. 2017, Paper No. 29, 15 p. (2017)) using probabilistic contraction [13] with cyclical conditions. We support our results by an example.