One-point quasi-compactifications for fuzzy neighborhood spaces
✍ Scribed by Wolfgang Flüshöh
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 364 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0165-0114
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📜 SIMILAR VOLUMES
In this paper a one-point compactiÿcation of a ditopological texture space is deÿned and a concept of local compactness introduced and shown to be additive in the class of ditopological texture spaces. An application to Hutton spaces is given. Here a compact extension of an Hutton space is obtained
We obtain ÿxed point theorems for fuzzy mappings in Smyth-complete and left K-complete quasi-metric spaces, respectively. Well-known theorems are special cases of our results.
A fuzzy neighborhood space is said to be pseudometrizable if, and only if, the associated fuzzy topology is induced by a probabilistic pseudometric under A . By the aid of the concept of quasi-inverse functions it will be shown that a fuzzy neighborhood space is pseudometrizable if. and only if, ev