λ-statistical convergence in n-normed spaces

Abstract

In this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established. We find its relations to statistical convergence, (C,1)-summability and strong (V, λ)-summability in n-normed spaces.

Stability of Unbounded Differential Equations in Menger k-Normed Spaces: A Fixed Point Technique

“…For more details see [22][23][24][25][26][27][28]. Note that, a [0, ∞]-valued metric is called a generalized metric.…”

Rough Convergence of Double Sequences in $n-$Normed Spaces

“…For example, Reddy [11] investigated statistical convergence, the statistical Cauchy sequence and some properties of statistical convergence in n−normed spaces. Hazarika and Savaş [12] introduced the concept of λ-statistical convergence in n−normed spaces. They established some inclusion relations between the sets of statistically convergent and λ−statistically convergent sequences in [12].…”

“…Hazarika and Savaş [12] introduced the concept of λ-statistical convergence in n−normed spaces. They established some inclusion relations between the sets of statistically convergent and λ−statistically convergent sequences in [12]. Gürdal and Şahiner [13] studied ideal convergence in n−normed spaces and presented the main results.…”

λ-quasi Cauchy sequence of fuzzy numbers

“…Both of these authors noted that if bounded sequence is statistically convergent, then it is Cesàro summable. Mursaleen [17] defined and studied λ-statistically convergent sequences (also see [1,14]). The notion was further investigated and different properties in the field of summability theory December 21, 2020.…”