Fixed Point Theorems for Fuzzy (γ,β) -Contractions in non-Archimedean Fuzzy Metric Spaces

SANGURLU SEZEN M.

Sahand Communications in Mathematical Analysis, cilt.18, sa.4, ss.31-44, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.22130/scma.2021.137259.856
  • Dergi Adı: Sahand Communications in Mathematical Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.31-44
  • Anahtar Kelimeler: (gamma, beta)-contraction, Fixed point, Non-Archimedean fuzzy metric space, PSI-CONTRACTIVE MAPPINGS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce new concepts of fuzzy (gamma, beta)-contraction and prove some fixed point results for fuzzy (gamma, beta)-contractions in complete non-Archimedean fuzzy metric spaces. Later, we define a fuzzy (gamma, beta)-weak contraction and establish some new fixed point results for fuzzy (gamma, beta)-weak contractions. Also, some examples are supplied in order to support the useability of our results.