Unique Solution of Integral Equations via Intuitionistic Fuzzy b-Metric-Like Spaces

Bostan N. U., Onbaşıoğlu Altuhovs Ş., Pazar Varol B.

PESQUISA OPERACIONAL, cilt.45, sa.e295611, ss.1-20, 2025 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: e295611
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1590/0101-7438.2025.045.00295611
  • Dergi Adı: PESQUISA OPERACIONAL
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.1-20
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this manuscript, our aim is to describe the concept of intuitionistic fuzzy b-metric-like spaces. We investigate some properties of this new space and give some useful examples. We also define the concepts of convergence, Cauchy sequence and completeness in intuitionistic fuzzy b-metric-like space. Furthermore, we establish some fixed point theorems in this setting and give an application to integral equations to illustrate the usability of the obtained results.