Caristi type fixed point theorems in fuzzy metric spaces

KARAYILAN H., TELCİ M.

Hacettepe Journal of Mathematics and Statistics, cilt.48, sa.1, ss.75-86, 2019 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2017.515
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.75-86
  • Anahtar Kelimeler: Caristi's fixed point theorem, Fixed point, Fuzzy metric space, P-complete fuzzy metric space
  • Trakya Üniversitesi Adresli: Evet

Özet

In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to p-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.