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.


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Volume 13, Issue 2
July 2022
Pages 1219-1227
  • Receive Date: 04 July 2021
  • Revise Date: 18 August 2021
  • Accept Date: 21 August 2021