Existence of Fixed Points for Expansive Mappings in Complete Strong Altering JS-metric space

Authors

X. M. JEFFIN VARUNNYA, Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Affiliated to Madurai Kamaraj University, Madurai), Sivakasi, Tamil Nadu, India.Follow
P. GNANACHANDRA, Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Affiliated to Madurai Kamaraj University, Madurai), Sivakasi, Tamil Nadu, India.Follow
B. ANANDAPRIYA, Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Affiliated to Madurai Kamaraj University, Madurai), Sivakasi, Tamil Nadu, India.Follow

Abstract

The paper aims at initiating and exploring the concept of extended metric known as the Strong Altering JS-metric, a stronger version of the Altering JS-metric. The interrelation of Strong Altering JS-metric with the b-metric and dislocated metric has been analyzed and some examples have been provided. Certain theorems on fixed points for expansive self-mappings in the setting of complete Strong Altering JS-metric space have also been discussed.

Keywords

Altering distance, b-metric space, Dislocated metric space, Expansive mapping, Fixed points, Strong Altering JS-metric

Article Type

Special Issue Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

VARUNNYA, X. M. JEFFIN; GNANACHANDRA, P.; and ANANDAPRIYA, B. (2023) "Existence of Fixed Points for Expansive Mappings in Complete Strong Altering JS-metric space," Baghdad Science Journal: Vol. 20: Iss. 1, Article 45.
DOI: https://doi.org/10.21123/bsj.2023.8427