\(\theta\)-metric space: a generalization (Q460021)
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scientific article; zbMATH DE number 6354335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\theta\)-metric space: a generalization |
scientific article; zbMATH DE number 6354335 |
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\(\theta\)-metric space: a generalization (English)
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13 October 2014
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Summary: We introduce the notion of \(\theta\)-metric as a generalization of a metric by replacing the triangle inequality with a more generalized inequality. We investigate the topology of the spaces induced by a \(\theta\)-metric and present some essential properties of it. Further, we give characterization of well-known fixed point theorems, such as the Banach and Caristi types in the context of such spaces.
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