On G-Continuity in Neutrosophic Topological Spaces


Acikgoz A., Akalli H., Esenbel F., Kǒcinac L.

4th International Conference of Mathematical Sciences, ICMS 2020, İstanbul, Türkiye, 17 - 21 Haziran 2020, cilt.2334, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2334
  • Doi Numarası: 10.1063/5.0042369
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: Neutrosophic g-sequential continuity, Neutrosophic group, Neutrosophic method, Neutrosophic sequential closure
  • Maltepe Üniversitesi Adresli: Evet

Özet

Continuity is one of most important concepts in many mathematical disciplines. In some situations general notion of continuity is replaced by sequential continuity. Connor and Grosse-Erdmann replaced lim in the definition of sequential continuity of real functions by a linear functional G on a linear subspace of the vector space of all real sequences. Their definition was extended to topological group X by replacing a linear functional G with an additive function defined on a subgroup of the group of all X-valued sequences. In this paper we introduce neutrosophic G-continuity and investigate its properties in neutrosophic topological spaces.