Best proximity point theorems for some classes of contractions (Q1714968)

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scientific article; zbMATH DE number 7011033
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Best proximity point theorems for some classes of contractions
scientific article; zbMATH DE number 7011033

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    Best proximity point theorems for some classes of contractions (English)
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    1 February 2019
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    Some best proximity point theorems are proved for a \(T\) is a \(C\)-cyclic contraction, a \(C\)-proximal contraction, a \(K\)-cyclic contraction or a \(K\)-proximal contraction in fairly complete spaces and proximally complete spaces. For previous papers, see, e.g., a work of \textit{S. S. Basha} and \textit{N. Shahzad} [Fixed Point Theory Appl. 2012, Paper No. 42, 9 p. (2012; Zbl 1282.41012)].
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    best proximity point
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    generalized proximal contraction
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    fixed point
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