A Study on Fixed Point Theory in M-Metric Space

Authors

  • Prakash Muni Bajracharya Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal
  • Nabaraj Adhikari Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/sw.v13i13.30541

Keywords:

Contraction principle, Partial metric spaces, M-metric spaces, Fixed Point

Abstract

In 2014, Asadi et al.1 introduced the notion of an M−metric space which is the generalization of a partial metric space and establish Banach and Kannan fixed point theorems in M− metric space. In this paper, we give a brief survey regarding the fixed point theorem for Chatterjea contraction mapping in the framework of M−metric space. We also give some examples which support the partial answers to the question posed by Asadi et al. concerning a fixed point for Chatterjea contraction mapping.

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Published

2020-08-07

How to Cite

Bajracharya, P. M., & Adhikari, N. (2020). A Study on Fixed Point Theory in M-Metric Space. Scientific World, 13(13), 62–68. https://doi.org/10.3126/sw.v13i13.30541

Issue

Vol. 13 No. 13 (2020)

Section

Articles