A COMMON FIXED-POINT THEOREM IN PERTURBED METRIC SPACES WITH RATIONAL CONTRACTIVE CONDITION
By
Parveen Kumar
Department of Mathematics, Tau Devi Lal Postgraduate Government College for Women, Murthal, Sonepat, Haryana, India-131027
Email: parveenkarwal21@gmail.com
(Received: October 27, 2025; In format: October 28, 2025; Revised: November 06, 2025; Accepted: November 10, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55221
Abstract
In the present paper, we establish a common fixed point theorem in perturbed metric spaces for two pair of weakly compatible mappings using rational contraction.Additionally, an application and an example are provided to support our generalization.
2020 Mathematical Sciences Classification: 46 T99, 47H10, 54H25
Keywords and Phrases: Fixed-point, Metric spaces, Perturbed metric spaces, Self-mappings, Rational contraction