Fixed Point Theorems for TSR-Contraction Mapping in Probabilistic Metric Spaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910966899277824 |
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| author | Roy, Sanjay Samanta, T. K. |
| author_facet | Roy, Sanjay Samanta, T. K. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_18500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed Point Theorems for TSR-Contraction Mapping in Probabilistic Metric Spaces Roy, Sanjay Samanta, T. K. Functional Analysis 47H10, 54E70 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. |
| title | Fixed Point Theorems for TSR-Contraction Mapping in Probabilistic Metric Spaces |
| topic | Functional Analysis 47H10, 54E70 |
| url | https://arxiv.org/abs/2505.18500 |