Fixed point theorems in b-metric and extended b-metric spaces

P. Swapna

Fixed point theorems in b-metric and extended b-metric spaces

Authors

P. Swapna

Keywords:

b-metric space, Banach contraction, b-Cauchy sequence, unique fixed point, b

Abstract

A necessary and sufficient condition is established for a Banach contraction f on a bmetric space (X,s) to have a fixed point using the greatest lower bound property of non-negativereal numbers. The obtained fixed point is unique and hence a b-contractive fixed point to

References

I. A. Bakhtin, “The contraction mapping principle in quasi-metric spaces”, Funct. Anal.

Unianowsk Gos. Ped. Inst., Vol. 30, pages 26-37, 1989.

Downloads

Published

2024-02-16

How to Cite

P. Swapna. (2024). Fixed point theorems in b-metric and extended b-metric spaces . Journal of Computational Analysis and Applications (JoCAAA), 33(2), 1456–1465. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/2897