Some Equivalences between Cone b -Metric Spaces and b -Metric Spaces

Poom Kumam; Nguyen Van Dung; Vo Thi Le Hang

doi:10.1155/2013/573740

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI09 > Article

2013 Some Equivalences between Cone

b

-Metric Spaces and

b

-Metric Spaces

Poom Kumam, Nguyen Van Dung, Vo Thi Le Hang

Abstr. Appl. Anal. 2013(SI09): 1-8 (2013). DOI: 10.1155/2013/573740

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Abstract

We introduce a $b$ -metric on the cone $b$ -metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone $b$ -metric spaces can be obtained from fixed point theorems on $b$ -metric spaces.

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Poom Kumam. Nguyen Van Dung. Vo Thi Le Hang. "Some Equivalences between Cone $b$ -Metric Spaces and $b$ -Metric Spaces." Abstr. Appl. Anal. 2013 (SI09) 1 - 8, 2013. https://doi.org/10.1155/2013/573740