Coincidence and common fixed point theorems for generalized αT-contraction via tri-simulation function with an application

Document Type : Research Paper


Department of Mathematics, K.R.M.D.A.V. College, Nakodar-144040, Punjab, India



In this manuscript, we introduce the concept of generalized $\alpha \mathcal{T}$-contractive pair of mappings with the assistance of a tri-simulation function and use this concept to establish some coincidence and common fixed point theorems via $\alpha$-permissible mapping. We also give an illustrative example which yields the main result. Also, many existing results in the frame of metric spaces are established. We also apply our main theorem to derive coincidence and common fixed point results  for $\alpha \mathcal{T}$-contractive mapping with the assistance of $\alpha$-permissible function.


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Articles in Press, Corrected Proof
Available Online from 27 May 2024
  • Receive Date: 24 November 2022
  • Revise Date: 17 February 2024
  • Accept Date: 19 March 2024