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

Document Type : Research Paper

Authors

1 Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

2 Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran

3 Department of Mathematics, Faculty of Science and Arts, Kirikkale Uni- versity, 71450 Yahsihan, Kirikkale, Turkey

Abstract

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

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 12, Issue 2 - Serial Number 2
March and April 2015
Pages 137-143

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