Common Fixed Point Theorems For F-Contractions In $G$-Metric Spaces Using Compatible Mappings

Authors : Cafer Aydin, Seher Sultan Sepet

Pages : 92-97

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Publication Date : 2018-04-15

Article Type : Research

Abstract :Using a mapping $F:\mathbb{R_{+}}\rightarrow \mathbb{R}$, Wardowski [1] introduce a new type of contraction called $F$-contraction and prove a new fixed point theorem concerning $F$-contraction. In the present article, we prove some fixed point theorems with helping compatible maps for type $1$ and type $2$ $F$-contraction in complete $G$-metric spaces.
Keywords : Fixed point, $G$-metric space, $F$-contraction, Compatible mapping