Fixed Point Theorem in Fuzzy Metric Space

Fuzzy Optimization and Modeling Journal

مقاله 4، دوره 3، شماره 4، اسفند 2022، صفحه 32-36   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2023.1952452.1061

نویسنده

Samaneh Ghods^*

Department of Mathematics, Islamic Azad University, Semnan Branch, Semnan, Iran

چکیده

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.

کلیدواژه‌ها

Fixed Point؛ Fuzzy Metric Space؛ F- invariant