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Fixed points and topological properties of extended quasi-metric spaces. (English) Zbl 1482.54034

The authors introduce an extension of metric spaces, which includes quasi-metric and \(S\)-metric spaces. Together with some fixed point properties of these spaces, they present the basic topological properties with different examples that support the theory.

MSC:

54E35 Metric spaces, metrizability
54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
47H08 Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
54G99 Peculiar topological spaces
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References:

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