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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 15 (2025), Article ID 16

Innovative approaches to (A, B)-contraction and T-coupling fixed points in bipolar parametric metric spaces

C. Usha Bhavani, P. Naresh, B. Srinuvasa Rao, G. Upender Reddy

PDF (196.8 KB) https://doi.org/10.28919/afpt/9238

Abstract

This article explores (A, B)-contraction type T-coupling and demonstrates the establishment of unique strong common coupled fixed points (USCCFP) within bipolar parametric metric spaces (BPPMS). Our research expands and generalizes several relevant findings from existing literature. Additionally, we provide two examples to support our key results. Finally, we apply our findings to systems of non-linear integral equations and homotopy.

Published
30 April 2025
Volume
15 (2025)
License
CC BY 3.0

Copyright © 2025 C. Usha Bhavani, P. Naresh, B. Srinuvasa Rao, G. Upender Reddy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

C. U. Bhavani, P. Naresh, B. S. Rao, G. U. Reddy, Innovative approaches to (A, B)-contraction and T-coupling fixed points in bipolar parametric metric spaces, Adv. Fixed Point Theory 15 (2025), 16. https://doi.org/10.28919/afpt/9238

BibTeX
@article{Bhavani2025,
  author  = {Bhavani, C. Usha and Naresh, P. and Rao, B. Srinuvasa and Reddy, G. Upender},
  title   = {Innovative approaches to (A, B)-contraction and T-coupling fixed points in bipolar parametric metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {16},
  doi     = {10.28919/afpt/9238}
}