This analysis establishes existence of unique fixed points for TSR-contraction mappings, highlighting applications in probabilistic metric spaces.
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.
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Roy et al. (2025) studied this question.
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