Fixed Point Theorems for TSR-Contraction Mapping in Probabilistic Metric Spaces
Functional Analysis
2025-05-27 v1
Abstract
The concept of fixed point plays a crucial role in various fields of applied mathematics. The aim of this paper is to establish the existence of a unique fixed point of some type of functions which satisfy a new contraction principle, namely, TSR-contraction principle in various types of probabilistic metric spaces. The proposed contraction mapping is different from our traditional definitions of contraction mapping.
Cite
@article{arxiv.2505.18500,
title = {Fixed Point Theorems for TSR-Contraction Mapping in Probabilistic Metric Spaces},
author = {Sanjay Roy and T. K. Samanta},
journal= {arXiv preprint arXiv:2505.18500},
year = {2025}
}