On generalized Pata type contractions (Q1657277)

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scientific article; zbMATH DE number 6916899
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On generalized Pata type contractions
scientific article; zbMATH DE number 6916899

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    On generalized Pata type contractions (English)
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    13 August 2018
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    Summary: In this paper, the existence of fixed point for Pata type Zamfirescu mapping in a complete metric space is proved. Our result give existence of fixed point for a wider class of functions and also prove the existence of best proximity point to the result on [\textit{V. Pata}, J. Fixed Point Theory Appl. 10, No. 2, 299--305 (2011; Zbl 1264.54065)].
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    Zamfirescu mapping
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    Pata mapping
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    fixed point
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    proximity point
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