Some results on $I_2$-deferred statistically convergent double sequences in fuzzy normed spaces

Abstract

The primary objective of this study is to introduce the concepts of $I_2$-deferred Cesàro summability and $I_2-$ deferred statistical convergence for double sequences in fuzzy normed spaces (FNS). Furthermore, the aim is to explore the connections between these concepts and subsequently establish several theorems pertaining to the notion of $I_2$-deferred statistical convergence in FNS for double sequences. We further define $I_2$-deferred statistical limit points and $I_2$-deferred statistical cluster points of a sequence within FNS and explore the relationships among these concepts.

Keywords

• Fuzzy normed spaces
• deferred statistical convergence
• Cesàro summability
• I₂-statistical convergence

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