On Sθ-summability in neutrosophic-2-normed spaces

Authors

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

Keywords:

Sθ-convergence, Sθ-Cauchy, lacunary sequence, neutrosophic-2-normed spaces

Abstract

In the present paper, we aim to define Sθ-summability in neutrosophic 2-normed spaces and study some of its properties. We provide examples that shows our method of summability is stronger in these spaces. Finally we introduce Sθ-Cauchy and Sθ-completeness and prove that every neutrosophic-2-normed spaces is Sθ-complete.

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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

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

Sumaira Aslam, Archana Sharma, & Vijay Kumar. (2024). On Sθ-summability in neutrosophic-2-normed spaces. Neutrosophic Sets and Systems, 63, 153-168. https://fs.unm.edu/nss8/index.php/111/article/view/3883