Remarks on partial $b$-metric spaces and fixed point theorems

Authors

  • N. V. Dung Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam Author
  • V. T. L. Hang Journal of Science, Dong Thap University, Cao Lanh City, Dong Thap Province, Vietnam Author

Keywords:

Fixed point, $b$-metric, partial metric, partial $b$-metric

Subjects:

47H10, 54H25, 54D99, 54E99

Abstract

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

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Published

2017-10-15

Issue

Vol. 69 No. 4 (2017): Vol. 69, Issue 4

Section

Articles

License

Copyright (c) 2017 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.