The Perturbed G-Metric Space and Fixed Point Results: Perturbed G-Metric Space and Fixed Point Results

Pardeep Kumar; Nawneet Hooda Hooda; Nawneet Hooda Hooda

doi:10.5269/bspm.80732

Authors

Pardeep Kumar Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat https://orcid.org/0009-0005-7691-8605
Professor Nawneet Hooda Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat https://orcid.org/0000-0002-1189-3583
Professor Nawneet Hooda Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat https://orcid.org/0000-0002-1189-3583

DOI:

https://doi.org/10.5269/bspm.80732

Abstract

In this paper, we introduce and investigate fixed point results within the framework of perturbed G-metric space, a generalization of metric and perturbed metric spaces involving a generalized distance function defined on triples of points. We establish Banach amd Kannan fixed point theorems for mappings that contract with respect to a perturbed G-metric, proving existence and uniqueness of fixed points. Further, the results of Mustafa, Mustafa and Obiedat, Nutu and Pacurar, and Gaba are obtained as corollaries.

Author Biographies

Pardeep Kumar, Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat

Deenbandhu Chhotu Ram University of Science and Technology, Murthal 131039, India.
Professor Nawneet Hooda, Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat

Professor

Nawneet Hooda

Department of Mathematics

Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat
Professor Nawneet Hooda, Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat

Professor

Nawneet Hooda

Department of Mathematics

Deenbandhu Chhotu Ram University of Science and Technology Murthal Sonipat