An interpretation of g-continuity in neutrosophic soft topological spaces


Cakalli H., Acikgoz A., Esenbel F.

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: 10.1063/5.0042188
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: Neurosophic soft cluster point, Neutrosophic soft boundary point, Neutrosophic soft function, Neutrosophic soft g-sequential continuity, Neutrosophic soft group, Neutrosophic soft method, Neutrosophic soft q-neighborhood, Neutrosophic soft quasi-coincidence, Neutrosophic soft sequences, Neutrosophic soft sequential closure
  • Maltepe Üniversitesi Adresli: Evet

Özet

Scientists have always adopted the concept of sequential continuity as an indispensable subject, not only in Topology but also in some other branches of Mathematics. Connor and Grosse-Erdmann gave this concept for real functions by using an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences instead of lim. Afterwards, this concept were adapted to a topological group X by replacing a linear functional G with an arbitrary additive function defined on a subgroup of the group of all X-valued sequences. Furthermore, alternative theorems in generalized setting were given and varied theorems that had not been achieved for real functions were presented. In this investigation, we offer neutrosophic soft G-continuity and analyze its nature in neutrosophic soft topological spaces.