Some fixed point theorems of $\lambda$-contractive mappings in Menger PSM-spaces

Abstract

In this paper, on the basis of the probabilistic metric space and the S-metric space, we introduce a new concept of the probabilistic metric space, which is called the Menger probabilistic S-metric space, and investigate some topological properties of this space and their related examples. We also prove some fixed point theorems. Finally, an example is provided to support our new results.