A fuzzy fixed point problem for constraint inequalities

IŞIK H., SANGURLU SEZEN M.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.39, sa.3, ss.3025-3032, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3233/jifs-191521
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.3025-3032
  • Anahtar Kelimeler: Common fixed points, constraint inequalities, G-complete fuzzy metric spaces, partial order, CONTRACTIONS, THEOREMS
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this work, we prove a new fixed point theorem in the setting fuzzy metric spaces. The fuzzy metric space considered here is assumed to have two partial orders defined on it. We introduce a new approach to the existence of a fixed point of a function satisfying the two constraint inequalities. An example is included which illustrates new results of this paper. Moreover, an application of our result to the study of integral equations is provided.