On λ-statistical and Vλ-statistical summability in neutrosophic-2-normed spaces

Authors

  • Sumaira Aslam Department Of Mathematics, Chandigarh University, Mohali-140413, Punjab, India
  • Vijay Kumar Department Of Mathematics, Chandigarh University, Mohali-140413, Punjab, India
  • Archana Sharma Department Of Mathematics, Chandigarh University, Mohali-140413, Punjab, India

Keywords:

λ-statistical convergence, Vλ-summable, λ-statistical Cauchy, neutrosophic-2-normed spaces

Abstract

In the present paper, we aim to define λ-statistical summability, Vλ-statistical summability in neutrosophic-2-normed spaces (briefly called N − 2 − NS) and study some relationships among these notions. We give an example that shows λ-statistical summability is stronger method in neutrosophic-2-normed spaces. Finally, we define λ-statistically Cauchy sequence and λ-statistically completeness in neutrosophic-2-normed spaces and obtain the Cauchy convergence criteria in these spaces.

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Published

2024-01-15

Issue

Vol. 63 (2024): Neutrosophic Sets and Systems

Section

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

License

Copyright (c) 2024 Neutrosophic Sets and Systems

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 Creative Commons Attribution (CC BY) license.

How to Cite

Sumaira Aslam, Vijay Kumar, & Archana Sharma. (2024). On λ-statistical and Vλ-statistical summability in neutrosophic-2-normed spaces. Neutrosophic Sets and Systems, 63, 188-202. https://fs.unm.edu/nss8/index.php/111/article/view/3885