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Fixed point theorems and \(\nabla^\ast\)-distance in partially ordered \(D^\ast\)-metric spaces - MaRDI portal

Fixed point theorems and \(\nabla^\ast\)-distance in partially ordered \(D^\ast\)-metric spaces (Q2862091)

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scientific article; zbMATH DE number 6226769
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English
Fixed point theorems and \(\nabla^\ast\)-distance in partially ordered \(D^\ast\)-metric spaces
scientific article; zbMATH DE number 6226769

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    14 November 2013
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    ordered set
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    \(D^*\)-metric
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    \(\nabla^*\)-distance
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    fixed point
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    Fixed point theorems and \(\nabla^\ast\)-distance in partially ordered \(D^\ast\)-metric spaces (English)
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    Let \((X, \leq)\) be a partially ordered set, \(D^*,D^*: X^3 \to [0,\infty)\) be two functionals and \(F:X \to X\) be a mapping. The authors give some fixed point theorems for \(F\) in terms of \(\leq\), \(D^*\) and \(A^*\). No relevant examples are given.
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