Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces. (English) Zbl 1423.47059
Summary: In this paper, we prove that some coupled fixed point theorems and coupled coincidence point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces can be directly deduced from fixed point theorems for contractions in fuzzy normed spaces. We also prove that these results are equivalent.
MSC:
| 47S40 | Fuzzy operator theory |
| 47H10 | Fixed-point theorems |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
Keywords:
coupled fixed point; coupled coincidence; intuitionistic fuzzy normed space; partially ordered set; mixed monotone mappingReferences:
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