On fixed points in the context of $\boldsymbol b$-metric spaces

Authors

  • S. Chandok Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam Author
  • V. Osturk Moscow Department of Elementary Education, Faculty of Education, Artvin Coruh University, 08000, Artvin, Turkey Author
  • S. Radenović Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam Author

Keywords:

Fixed point, $C$-class function, dominating mappings, $b$-metric space

Subjects:

47H10, 54H25

Abstract

In this paper, we obtain sufficient conditions for the existenceof common fixed points in the framework of ordered $b$-metric spaces. Ourresults generalize some recent results in the literature. Also, toillustrate the usability of the results we give an adequateexample in which $b$-metric is not continuous.

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Published

2019-04-15