Journal of Fixed Point Theory and Applications

, Volume 19, Issue 2, pp 1625–1647 | Cite as

Fixed point theorems on soft metric spaces

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Abstract

In this paper, we introduced soft metric on soft sets and considered its properties. Continuity of soft mappings on soft metric spaces studied. Moreover, we prove the Banach contraction theorem on complete soft metric spaces.

Keywords

Banach contraction theorem soft set soft topology metric space soft metric space 

Mathematics Subject Classification

Primary 47H10 Secondary 54H25 
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Notes

Acknowledgements

We would like to express our sincere thanks and gratitude to the reviewer(s) for their valuable comments and suggestions for the improvement of this paper. Also, the authors would like to thank “Ardabil Branch, Islamic Azad university, Ardabil, Iran” for its financial support and so thanks, Ali Jabbari for comments on this paper.

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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  1. 1.Department of MathematicsArdabil Branch, Islamic Azad UniversityArdabilIran

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