Results on Chatterjea’s Contraction in b-Metric Space

Authors

  • Dilip Kumar Sah Department of Mathematics, Patan Multiple Campus, Tribhuvan University, Kathmandu
  • Ajay Kumar Chaudhary Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Kathmandu
  • Chet Raj Bhatta Central Department of Mathematics, Kirtipur, Tribhuvan University, Kathmandu

DOI:

https://doi.org/10.3126/ppj.v4i2.79147

Keywords:

b-Metric space, Contraction mappings, Kannan-type and Chatterjea-type

Abstract

In 1922, Polish mathematician S. Banach introduced contraction conditions in metric space and confirmed that every contraction mapping in a complete metric space gives a unique fixed point. In 1968, R. Kannan generalized Banach contraction, and S. K. Chatterjea modified the Kannan contraction in 1972.

This paper aims to show that any contractive condition need not be a weak contraction mapping in b-metric space.

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Published

2024-12-31

How to Cite

Sah, D. K., Chaudhary, A. K., & Bhatta, C. R. (2024). Results on Chatterjea’s Contraction in b-Metric Space. Patan Prospective Journal, 4(2), 34–47. https://doi.org/10.3126/ppj.v4i2.79147

Issue

Vol. 4 No. 2 (2024)

Section

Articles