Common fixed points via b-simulation functions and digraphs

  • Sushanta Kumar Mohanta West Bengal State University
  • Deep Biswas


The basic purpose of this article is to define a generalized G-contraction by using the notion of b-simulation functions and discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying such contractions in the setting of b-metric spaces endowed with a graph. Our result will extend and unify several existing results in the literature.