On Generalized Pata Type Contractions

On Generalized Pata Type Contractions

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 “A fixed point theorem in metric spaces”, g...

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Veröffentlicht in:Mathematics (Basel) 2018-02, Vol.6 (2), p.25
Hauptverfasser: Jacob, Geno, Khan, M., Park, Choonkil, Yun, Sungsik
Format: Artikel
Sprache:eng
Schlagworte:
fixed point
Fixed points (mathematics)
Metric space
Pata mapping
proximity point
Zamfirescu mapping
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Zusammenfassung: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 “A fixed point theorem in metric spaces”, given by vittorino Pata.
ISSN:2227-7390
2227-7390
DOI:10.3390/math6020025