Cantor's theorem in 2-metric spaces and its applications to fixed point problems (Q636082)
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scientific article; zbMATH DE number 5943156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cantor's theorem in 2-metric spaces and its applications to fixed point problems |
scientific article; zbMATH DE number 5943156 |
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Cantor's theorem in 2-metric spaces and its applications to fixed point problems (English)
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25 August 2011
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The authors obtain the well-known Cantor intersection theorem and the Baire category theorem in the setting of 2-metric spaces introduced and studied by \textit{S. Gähler} [Math. Nachr. 26, 115--148 (1963; Zbl 0117.16003)]. They apply Cantor's theorem to deduce some fixed point theorems in 2-metric spaces.
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2-metric space
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fixed point
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Cantor's intersection theorem
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Baire category theorem
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Banach's fixed point theorem
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