Fixed point results in soft probabilistic metric spaces

This research work introduces and explores the notion of soft probabilistic metric spaces, drawing from the principles of soft sets and classical probabilistic metric spaces. It delves into the essential topological characteristics of soft probabilistic metric spaces, such as the space of soft distribution functions, soft strong neighbourhood systems, and the soft Levy metric. These insights contribute to the conceptualization of various topological structures within this generalized framework of metric spaces. We establish a generalized version of conventional set and probabilistic metric spaces. To support this new concept of soft probabilistic metric spaces, we provide relevant illustrations. Furthermore, the study establishes several fixed point results within the realm of soft probabilistic metric spaces.