Coupled fixed point in Fuzzy metric spaces

Subject Areas : Vibration Transmision

Samaneh  Ghods ¹ (Engineering Department, Islamic Azad university, Semnan branch, Semnan, Iran.)

Received: 2021-01-04 Accepted : 2021-06-18 Published : 2021-08-07

Keywords: coupled fixed point, , Fuzzy metric space, Fuzzy,

Abstract :

In this present work, we prove fixed point theorem for contractive mapping F: X × 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. because we prove unique fixed point is 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.