SOME FIXED POINT THEOREMS OF (F, phi)-FUZZY CONTRACTIONS IN FUZZY METRIC SPACES

SEZEN M. S., Turkoglu D.

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, cilt.8, sa.4, ss.10-20, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 4
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.10-20
  • Gazi Üniversitesi Adresli: Evet

Özet

The main concern of this study is to introduce the notion of fuzzy phi -best proximity point and establish the existence and uniqueness of fuzzy phi-best proximity point for mappings satisfying (F, phi)-fuzzy contraction and (F, phi)-weak fuzzy contraction in the context of complete fuzzy metric spaces. Also we give its fuzzy best proximity results.