A Representation theorem for probabilistic metric spaces in general
β Scribed by Mingxue Liu
- Book ID
- 110427029
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 168 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0011-4642
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π SIMILAR VOLUMES
Several results concerning generalized probabilistic spaces, fixed points of mappings on topological spaces are obtained and applied to yield some new theorems on fixed points for mappings on generalized probabilistic metric spaces.
The notion of a βΏ, C -contraction type multivalued mapping is introduced. This notion is a generalization of the notion of C-contraction introduced by T. L. Hicks Ε½ .
In this paper we prove a fixed point theorem for multivalued mappings in probabilistic metric spaces. Some applications in fuzzy metric and random normed spaces are given. @