Bailey, Nemytskii and Suzuki Contraction Functions on Fuzzy Metric Spaces

This paper introduces a family of F-fuzzy, Bailey--Nemytskii functions of level p in fuzzy set theory. Then, it defines Bailey and Nemytskii contraction functions on fuzzy metric spaces. Finally, it uses the aforementioned family to show that each of the contraction functions has a fixed point. The paper also generalizes Suzuki contraction functions to fuzzy metric spaces and studies the existence of fixed points for such functions.

کلیدواژه ها:

Bailey contraction ، Nemytskii contraction ، Suzuki contraction ، Fuzzy metric space ، Fixed point