MATEMATIČKI VESNIKVol. 69, No. 4, pp. 231–240 (2017)
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MATEMATIČKI VESNIK Vol. 69, No. 4, pp. 231–240 (2017) |
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Remarks on partial $b$-metric spaces and fixed point theoremsN. V. Dung and V. T. L. HangN.V.D: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam E-mail: nguyenvandung2@tdt.edu.vn and V.T.L.H: Faculty of Mathematics and Information Technology Teacher Education, Dong Thap Uni- versity, Cao Lanh City, Dong Thap Province, Vietnam, Journal of Science, Dong Thap University, Cao Lanh City, Dong Thap Province, Vietnam E-mail: vtlhang@dthu.edu.vnAbstract: 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. Keywords: Fixed point; $b$-metric; partial metric; partial $b$-metric. Classification (MSC2000): 47H10; 54H25, 54D99, 54E99 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 8 Sep 2017. This page was last modified: 25 Sep 2018.
© 2017 Mathematical Society of Serbia (Društvo matematičara Srbije)
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