In this paper we have tried to prove a common fixed point theorem of four self-mappings satisfying a generalized contractive condition in b-metric space. Our result extend several comparable pre-existing results in literature. We have also given an example that shows the applicability and validity of our result. classification: 47H10, 54H25 Lemma 1.4: Let (X,d) be a b-metric space with k≥1 , suppose that {x n } and {y n } are b -convergent such that to x and y respectively .then we have Int. J. Sci.