10.30495/fomj.2023.1952452.1061

Fixed Point Theorem in Fuzzy Metric Space

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  • Samaneh Ghods,

Received: 2022-02-12

Revised: 2022-05-28

Accepted: 2022-06-05

Published in Issue 2025-12-19

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ghods, S. (2025). Fixed Point Theorem in Fuzzy Metric Space. Fuzzy Optimization and Modeling Journal (FOMJ), 3(4), 32-36. https://doi.org/10.30495/fomj.2023.1952452.1061
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Abstract

In this present work, we prove fixed point theorem for contractive mapping F: X--X in fuzzy metric spaces that have a nonempty F− invariant complete subspace E, then prove the uniqueness the fixed point in E.  Though many theorems in fuzzy metric space in this case, our theorem is a new type of these theorems as it is we proved that a unique fixed point there exists in F− invariant complete subset E in X. Finally, we give an interesting example in complete fuzzy metric space that satisfies in the conditions of our theorem and prove the uniqueness fixed point of F.

Keywords

  • Fixed Point,
  • Fuzzy Metric Spaces,
  • F −invariant
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