Fixed Point Theorem in Fuzzy Metric Space

محورهای موضوعی : Fuzzy Optimization and Modeling Journal

Samaneh Ghods ¹ (Department of Mathematics, Islamic Azad University, Semnan Branch, Semnan, Iran)

تاریخ دریافت : 1400/11/23 تاریخ پذیرش : 1401/03/15 تاریخ انتشار : 1401/09/10

کلید واژه: fixed point, Fuzzy metric space, F- invariant,

چکیده مقاله :

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 , 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.