Sabit Fuzzy Nokta Teoremleri

Yıl 2020, Cilt: 10 Sayı: 3, 641 - 650, 15.07.2020

Ferhan Şola Erduran

https://doi.org/10.17714/gumusfenbil.621967

Öz

Bu çalışmada, fuzzy alt kümeler ailesi üzerinde verilmiş olan Hausdorrf fuzzy metrik
uzaylarda, uzaklığı değiştiren fonksiyonlar yardımıyla ilk olarak fuzzy
fonksiyonları için sabit fuzzy nokta teoremi ispatlanmış ve teorem örneklerle
desteklenmiştir. Daha sonra, ana teoremin bir uygulaması olarak ortak sabit
fuzzy nokta teoremi ve ispatı verilmiştir.

 

Anahtar Kelimeler

Fuzzy Metrik, Sabit Fuzzy Nokta, Uzaklığı Değiştiren Fonksiyon

Fixed Fuzzy Point Theorems

Öz

In this
study, firstly, fuzzy fixed point theorem was proved for fuzzy mappings by
altering distance functions in Hausdorff fuzzy metric spaces which are given on
family of fuzzy subsets and the theorem was supported by examples. After that,
common fuzzy fixed point theorem  and its
proof were given as an application of main theorem.

Anahtar Kelimeler

Fuzzy Metric, Fixed Fuzzy Point, Altering Distance Function

Kaynakça

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