Studies on λ-statistical convergence of sequences in generalized probabilistic metric spaces

Document Type

Article

Publication Title

Boletim Da Sociedade Paranaense De Matematica

Abstract

In this paper, we introduce the notion of λ-statistical convergence of sequences in probabilistic G-metric spaces. We study some basic properties of λ-statistical convergence of sequences. Also introducing the notion of λ-statistically Cauchy sequences, we study its relationship with λ-statistical convergence in probabilistic G-metric spaces. Further, introducing the notion of λ-statistically pre-Cauchy sequences in probabilistic G-metric spaces, we examine the connections among all these new concepts and establish some basic facts.

DOI

10.5269/bspm.67367

Publication Date

1-1-2025

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