We introduce the concept of semicompleteness on semimetric space, which is weaker than completeness. We prove fixed point theorems for contractions in semicomplete semimetric spaces.
Also, we generalize Jachymski-Matkowski-Świątkowski’s fixed point theorem in semimetric spaces.
| Author(s) | Suzuki, Tomonari |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2018.02.15 |
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