Neutrosophic 2−normed spaces and generalized summability

Authors

  • Sajid Murtaza Department of Mathematics, Chandigarh University, Mohali- Punjab;
  • Archana Sharma Department of Mathematics, Chandigarh University, Mohali- Punjab;
  • Vijay Kumar Department of Mathematics, Chandigarh University, Mohali- Punjab;

Keywords:

Neutrosophic norm spaces, statistical convergence, statistical completeness, neutrosophic 2-norm spaces

Abstract

The aim of present paper is to introduce the concept of neutrosophic 2−norm space ( briefly abbreviated as N −2−NS) and study statistical summability in these spaces. We construct examples to demonstrate
that statistical convergence is stronger method than usual convergence. Finally, we define statistically Cauchy
sequence, statistical completeness and obtain the Cauchy convergence criteria.

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Published

2023-05-01

Issue

Vol. 55 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Sajid Murtaza, Archana Sharma, & Vijay Kumar. (2023). Neutrosophic 2−normed spaces and generalized summability. Neutrosophic Sets and Systems, 55, 415-426. https://fs.unm.edu/nss8/index.php/111/article/view/3200