Abstract
As a probabilistic extension of the theorem obtained by Pant et al. [R.P. Pant, V. Rakočević, D. Gopal, A. Pant, M. Ram, A General Fixed Point Theorem, Filomat 35(12) (2021), 4061–4072] in this paper, we prove existence and uniqueness of a fixed point for a wide class of self-mapping defined on complete Menger PM-space. Our theorem generalizes well-known fixed point theorems proved for Menger PM spaces. Also, this theorem characterizes probabilistic metric completeness. Some examples and comments are provided based on the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 3343-3352 |
| Number of pages | 10 |
| Journal | Filomat |
| Volume | 39 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2025 |
| Externally published | Yes |
Keywords
- Contractive mapping
- Fixed point
- Menger PM-spaces
- Weak orbital continuity
ASJC Scopus subject areas
- General Mathematics
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