Basic inequality on a b-metric space and its applications

  title={Basic inequality on a b-metric space and its applications},
  author={Tomonari Suzuki},
  booktitle={Journal of inequalities and applications},
We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not. 
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