Fixed point theorem for neutrosophic extended metric-like spaces and their application

Ishtiaq U., ŞİMŞEK N., Javed K., Ahmed K., Uddin F., KİRİŞCİ M.

Sigma Journal of Engineering and Natural Sciences, cilt.41, sa.4, ss.750-757, 2023 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.14744/sigma.2023.00085
  • Dergi Adı: Sigma Journal of Engineering and Natural Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.750-757
  • Anahtar Kelimeler: Extended Metric Like Space, Fixed Point, Integral Equation, Metric Like Space, Neutrosophic Metric Space
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this manuscript, our objective is to introduce the notion of neutrosophic extended metric-like spaces. We establish some fixed point theorems in this setting. Neutrosophic extended metric-like spaces metric space uses the idea of continuous triangular norms and continuous triangular conorms in an extended intuitionistic fuzzy metric-like space. Triangular norms are used to generalize with the probability distribution of triangle inequality in metric space conditions. Triangular conorms are known as dual operations of triangular norms. Triangular norms and triangular conorm are very significant for fuzzy operation. The obtained results boost the approaches of existing ones in the literature and are supported by some examples and an application.