Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words

Ali B., Ali M., Hussain A., George R., Nazir T.

AIMS Mathematics, cilt.7, sa.9, ss.16590-16611, 2022 (SCI-Expanded, SSCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 9
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/math.2022909
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.16590-16611
  • Anahtar Kelimeler: best proximity point, fuzzy contractive mapping, quasi-contraction
  • Uşak Üniversitesi Adresli: Hayır

Özet

This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces. The existence of different proximal quasi-contractive mappings allowed us to generalize some results concerning the existence and uniqueness of the best proximity points in the existing literature. Moreover, an application in computer science, particularly in the domain of words has been provided.