Coincidence point results for graph preserving hybrid pair of mappings

Document Type : Research Paper


Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India


We analyze the existence of coincidence points for hybrid pair of mappings defined on b-metric spaces endowed with a digraph G. Our main result is an extension of the well-known Nadler's fixed point theorem. Finally, we present a coincidence point theorem for mappings satisfying a general contractive condition of integral type. We include some examples to examine the validity of our results.