International Journal of Nonlinear Analysis and Applications

Common fixed point theorems of integral type in G-metric space via control function

Document Type : Research Paper

Author

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

Abstract

In this paper, we establish fixed point results for two pairs of functions with the assistance of CLR property in the context of $\mathcal{G}$-metric space. Our sequel generalizes various existing fixed-point results that are given in the literature. An illustrative example is likewise given to demonstrate that our speculation from metric space to $\mathcal{G}$-metric spaces is genuine.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 8
August 2023
Pages 343-350
  • Receive Date: 03 October 2022
  • Revise Date: 01 February 2023
  • Accept Date: 10 February 2023