Conditional reciprocal continuity and a common fixed point in a $b$-metric space

Document Type : Research Paper


1 Department of Mathematics, Vellore Institute of Technology, Vellore, Tamilnadu, India

2 Department of Mathematics, MVSR Engineering College, Rangareddy, Hyderabad-501510, Telangana State, India


A unique common fixed point is obtained for compatible and non-compatible self-maps on a $b$-metric space, through the notion of conditional reciprocal continuity, due to Pant and Bist.