Approximate Fixed Point Property for f and ψ Fuzyy Contraction Classes in Intuitionistic Fuzzy Normed Spaces

Yıl 2024, , 1102 - 1112, 01.10.2024

Lale Cona , Gizem Güzel Tan

https://doi.org/10.35414/akufemubid.1414484

Öz

In this paper, new definitions for intuitionistic fuzzy normed spaces of f and ψ contraction map classes in classical analysis will be given. In addition, it will be shown under which conditions these transformations provide the approximate fixed point property in intuitionistic fuzzy normed spaces. The results obtained will be supported with examples.

Anahtar Kelimeler

Fuzzy metric space, Fuzzy normed space, Intuitionistic fuzzy metric space, Intuitionistic fuzzy normed space, Approximate fixed point

Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği

Öz

Bu çalışmada, klasik analizde ve bulanık metrik uzaylarda tanımlı f ve ψ daralma dönüşüm sınıflarının sezgisel bulanık normlu uzaylar için yeni versiyonları tanımlanacaktır. Ayrıca, bu dönüşümlerin sezgisel bulanık normlu uzaylarda hangi şartlar altında yaklaşık sabit nokta özelliğini sağladığı gösterilecektir. Bulunan sonuç örneklerle desteklenecektir.

Anahtar Kelimeler

Bulanık metrik uzay, Bulanık normlu uzay, Sezgisel bulanık metrik uzay, Sezgisel bulanık normlu uzay, Yaklaşık sabit nokta

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