On generalized fuzzy normed spaces and coincidence point theorems. (English) Zbl 1228.47073
In this paper, some generalized fuzzy norms are introduced and studied. The relationships between these fuzzy norms and fuzzy metrics and between these fuzzy norms and the topological structures on the base linear space are given. Moreover, some fixed point theorems and coincidence point theorems for fuzzy generalized contractive mappings are proved under suitable conditions.
Reviewer: Nan-Jing Huang (Chengdu)
MSC:
| 47S40 | Fuzzy operator theory |
| 47H10 | Fixed-point theorems |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
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