Fixed Point Theorems on 4-dimensional ball metric spaces and their Applications

Ch. Srinivasa  Rao; S. Ravi  Kumar; K.K.M.  Sarma

doi:10.6180/jase.202411_27(11).0014

Fixed Point Theorems on 4-dimensional ball metric spaces and their Applications

Ch. Srinivasa Rao, S. Ravi KumarThis email address is being protected from spambots. You need JavaScript enabled to view it., and K.K.M. Sarma

Mathematics Department, Andhra University, Visakhapatnam, India - 530003.

Received: August 26, 2023
Accepted: December 16, 2023
Publication Date: February 19, 2024

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202411_27(11).0014

We introduce the concept of B₄-metric space, also known as 4-dimensional ball metric space. Which is natural extension of metric spaces, b-metric spaces and S-metric spaces. We establish unique Fixed point theorems for a self-map on a complete 4-dimensional ball metric space with suitable contractive conditions. We also illustrate their applications. Suitable examples are provided as and when necessary.

Keywords: B4-metric space, 4-dimensional ball metric space and Fixed point theorems

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