Fixed Point Results for (ψ, ϕ)-Contractive Mapping in GF-Metric Space

Authors

  • Kapil Jain RKSD College, Kaithal
  • Jatinderdeep Kaur Thapar Institute of Engineering and Technology, Patiala
  • Satvinder Singh Bhatia Thapar Institute of Engineering and Technology, Patiala

DOI:

https://doi.org/10.23755/rm.v51i0.1455

Keywords:

Fixed point, complete metric space, G-metric space, Gb-metric space, F-metric space, Cauchy sequence

Abstract

The main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the class of GF - metric spaces is also presented. We examine a few fundamental aspects of this newly defined abstract space. Proving the Banach contraction principle and the fixed point result for (ψ, ϕ)-contractive mapping in the context of GF -metric spaces is the paper’s secondary goal

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Published

2024-01-31

Issue

Vol. 51 (2024)

Section

Volume 51-2024

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