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# Fixed point theorems with cyclical contractive conditions in $b$-Menger spaces-by Abderrahim Mbarki and Rachid Oubrahim

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 [1] with cyclical conditions. We support our results by an example.
Keywords: $b$-Menger space, Fixed point, Cyclic probabilistic contraction.
How to cite this article: Abderrahim Mbarki and Rachid Oubrahim, Fixed point theorems with cyclical contractive conditions in $b$-Menger spaces, Results in fixed point theory and applications, vol. 2018, Article ID 2018005, 07 pages, 2018.