MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Remarks on partial $b$-metric spaces and fixed point theorems
N. V. Dung, V. T. L. Hang

Abstract

In this paper, we prove some properties of a partial b-metric space in the sense of Shukla. As applications, we show that fixed point theorems on partial $b$-metric spaces can be implied from certain fixed point theorems on $b$-metric spaces. We also give examples to illustrate the results.

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Keywords: Fixed point; $b$-metric; partial metric; partial $b$-metric.

MSC: 47H10, 54H25, 54D99, 54E99

Pages:  231--240     

Volume  69 ,  Issue  4 ,  2017