Unique Fixed Point Theorems In Complete -Metric Spaces

Authors

  • Sameehah R. Alkaleeli Author
  • Ngla Farag Mahmoud- Meriki Author
  • Sameerah Abraheem Salih Abdulsalam Author

DOI:

https://doi.org/10.54172/vrt45589

Keywords:

fixed point, Common fixed point, metric space, complete -metric space

Abstract

This paper studies some fixed point theorems for mappings in the setting of   -metric space. These theorems are first introduced by Venkata (2001) for mappings in the setting of 2-metric space. The theorems are referred to in this paper as theorem 5.1 on page 4 and theorem 5.2 on page 6 when are proved on -metric space. In theorem 5.1, if  and all conditions have not changed, then theorem 5.1 is still applicable. If  in the first condition of the theorem 5.2, then theorem 5.2 is still applicable

Author Biographies

  • Sameehah R. Alkaleeli

    Assistant lecturer , Department of Mathematics, Faculty of Arts & Science-Al marj. University of Benghazi

  • Ngla Farag Mahmoud- Meriki

    Assistant lecturer , Department of Mathematics, Faculty of Arts & Science-Al marj. University of Benghazi

  • Sameerah Abraheem Salih Abdulsalam

    Assistant lecturer , Department of Mathematics, Faculty of Arts & Science-Al marj. University of Benghazi

References

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ijmms.hindawu.com

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Published

2019-12-31

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Section

Articles

How to Cite

Unique Fixed Point Theorems In Complete -Metric Spaces. (2019). AL-Mukhtar Journal of Educational Sciences, 4(1), 48-59. https://doi.org/10.54172/vrt45589