PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 26, 2026Filomat0 citationsOpen Access

Study on topological properties of Pythagorean neutrosophic normed space

VKVakeel KhanFMFaisal MohdHBHazarika Bipan

Key Points

  • The aim is to introduce and explore the properties of Pythagorean neutrosophic normed spaces and their topological implications.
  • Defined convergence and Cauchy sequences within Pythagorean neutrosophic normed spaces.
  • Characterized open balls, boundedness, and compactness for these spaces.
  • Induced a topology based on open balls and demonstrated its Hausdorff property.
  • Not all Pythagorean neutrosophic normed spaces are neutrosophic normed spaces.
  • Topology generated by open balls in these spaces is proved to be Hausdorff.

Abstract

We introduce the concept of Pythagorean neutrosophic normed spaces. We study that every Pythagorean neutrosophic normed space need not to be neutrosophic normed space. We define convergence of a sequence in Pythagorean neutrosophic normed spaces and Cauchy sequence. We define open ball, boundedness and compact with respect to PNNS. We induce a topology generated by these open balls. We prove that topology generated by these balls is Hausdorff.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Khan et al. (2025) studied this question.

synapsesocial.com/papers/6a153a2eb5d9c58d83e8cfa1https://doi.org/10.2298/fil2529287k
Ask AI
Helpful
Bookmark
Share
View Full Paper