A New Approach to Caristi's Fixed Point Theorem on Non-Archimedean Fuzzy Metric Spaces

Authors

  • I. Altun Department of Mathematics, Faculty of Science and Arts, Kirikkale Uni- versity, 71450 Yahsihan, Kirikkale, Turkey
  • N. Shobkolaei Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran
  • S. Sedghi Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Abstract:

In the present paper, we give a new approach to Caristi's fixed pointtheorem on non-Archimedean fuzzy metric spaces. For this we define anordinary metric $d$ using the non-Archimedean fuzzy metric $M$ on a nonemptyset $X$ and we establish some relationship between $(X,d)$ and $(X,M,ast )$%. Hence, we prove our result by considering the original Caristi's fixedpoint theorem.

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Journal title

volume 12  issue 2

pages  137- 143

publication date 2015-04-29

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