Characterization of \(\Sigma\)-semicompleteness via Caristi's fixed point theorem in semimetric spaces (Q1746792)
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scientific article; zbMATH DE number 6864753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of \(\Sigma\)-semicompleteness via Caristi's fixed point theorem in semimetric spaces |
scientific article; zbMATH DE number 6864753 |
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Characterization of \(\Sigma\)-semicompleteness via Caristi's fixed point theorem in semimetric spaces (English)
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25 April 2018
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In this paper, the author presents the concept of \(\sum\)-semicompleteness in semimetric spaces and gives Caristi's theorem on the fixed point in \(\sum\)-semicomplete semimetric spaces. Using the obtained result, the author characterizes \(\sum\)-semicompleteness. Also, a generalization of Banach's contraction principle is given.
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\(\sum\)-semicomplete
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semimetric spaces
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Caristi's fixed point theorem
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Banach's contraction principle
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