$\lambda$-$\Delta^m$-Statistical Convergence on Intuitionistic Fuzzy Normed Spaces

Reena Antal; Meenakshi Chawla

doi:10.26713/cma.v14i5.2097

Authors

Reena Antal Department of Mathematics, Chandigarh University, Mohali, Punjab, India https://orcid.org/0000-0003-2711-246X (unauthenticated)
Meenakshi Chawla Department of Mathematics, Chandigarh University, Mohali, Punjab, India https://orcid.org/0000-0003-1086-7452 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v14i5.2097

Keywords:

λ-statistical convergence, Difference sequences, Intuitionistic fuzzy normed space

Abstract

The basic purpose of our work is to define $\lambda$-statistical convergence for the generalized difference sequences (i.e. $\lambda$-$\Delta^m$-statistical convergence) on Intuitionistic Fuzzy Normed space (IFN space). We have proven topological results about this generalized method of sequence convergence. Also, we have given the $\lambda$-$\Delta^m$-statistical Cauchy sequences along with its Cauchy criteria of convergence on these spaces.

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