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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

abstract and applied analysis

Some Equivalences between Cone<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:math>-Metric Spaces and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:math>-Metric Spaces

Some Equivalences between Coneb-Metric Spaces andb-Metric Spaces