Some Topological Character of Neutrosophic normed spaces

Authors

  • Vakeel A. Khan Department of Mathematics, Aligarh Muslim University
  • Mohammad Daud Khan Department of Mathematics, Aligarh Muslim University

Keywords:

NNS, t-norm; t-conorm, Statistical convergence, compact linear operator, Bounded linear operator, neutrosophic set

Abstract

The concept of neutrosophic normed spaces was introduced by Murat Kirisci* and Necip Simsek [3]. In this paper, by using the compact operator ψ(zj ) and the concept of statistical convergence. we introduce some neutrosophic statistical convergence of sequence spaces defined by compact operator and study of neutrosophic norm and derive the relation between statistical convergence in NNS with the help of compact operator. We also focus on some topological and algebraic properties of these convergent sequence spaces.

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Published

2021-12-01

How to Cite

Khan, V. A. ., & Daud Khan, M. . (2021). Some Topological Character of Neutrosophic normed spaces. Neutrosophic Sets and Systems, 47, 397-410. https://fs.unm.edu/nss8/index.php/111/article/view/2012