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On \(J\)-cone metric spaces over a Banach algebra and some fixed-point theorems - MaRDI portal

On \(J\)-cone metric spaces over a Banach algebra and some fixed-point theorems (Q2247626)

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On \(J\)-cone metric spaces over a Banach algebra and some fixed-point theorems
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    On \(J\)-cone metric spaces over a Banach algebra and some fixed-point theorems (English)
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    17 November 2021
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    Summary: In the present paper, we define \(J\)-cone metric spaces over a Banach algebra which is a generalization of \(G_{p_b}\)-metric space (\(G_{p_b}\)-MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.
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    \(J\)-cone metric spaces over a Banach algebra
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    \(G_{p_b}\)-metric space
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    cone metric space
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    generalized contractive maps without continuity
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    generalized expansive maps without continuity
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