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Some equivalences between cone \(b\)-metric spaces and \(b\)-metric spaces. (English) Zbl 1292.54027

Summary: We introduce a \(b\)-metric on cone \(b\)-metric spaces and then prove some equivalences between them. As applications, we show that fixed point theorems on cone \(b\)-metric spaces can be obtained from fixed point theorems on \(b\)-metric spaces.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
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