Some Fixed-Point Results for a G -Weak Contraction in G -Metric Spaces

Wasfi Shatanawi; Mihai Postolache

doi:10.1155/2012/815870

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Home > Journals > Abstr. Appl. Anal. > Volume 2012 > Article

2012 Some Fixed-Point Results for a

G

-Weak Contraction in

G

-Metric Spaces

Wasfi Shatanawi, Mihai Postolache

Abstr. Appl. Anal. 2012: 1-19 (2012). DOI: 10.1155/2012/815870

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Abstract

We introduce the concepts of a $G$ -weak contraction mapping of types $A$ and $B$ and we establish some fixed point theorems for a $G$ -weak contraction mapping of types $A$ and $B$ in complete $G$ -metric spaces. Our results generalize several well-known comparable results in the literature.

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Wasfi Shatanawi. Mihai Postolache. "Some Fixed-Point Results for a $G$ -Weak Contraction in $G$ -Metric Spaces." Abstr. Appl. Anal. 2012 1 - 19, 2012. https://doi.org/10.1155/2012/815870