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Optimal approximate solutions of fixed point equations - MaRDI portal

Optimal approximate solutions of fixed point equations (Q554860)

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scientific article; zbMATH DE number 5930723
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Optimal approximate solutions of fixed point equations
scientific article; zbMATH DE number 5930723

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    Optimal approximate solutions of fixed point equations (English)
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    22 July 2011
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    Summary: The main objective of this paper is to present some best proximity point theorems for K-cyclic mappings and C-cyclic mappings in the frameworks of metric spaces and uniformly convex Banach spaces, thereby furnishing an optimal approximate solution to equations of the form \(Tx = x\), where \(T\) is a non-self mapping.
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    best proximity point theorems
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    K-cyclic mappings
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    C-cyclic mappings
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