Some further studies on strong ℐ λ-statistical convergence in probabilistic metric spaces

Argha Ghosh; Samiran Das

doi:10.1515/anly-2021-0025

Some further studies on strong ℐ ^λ-statistical convergence in probabilistic metric spaces

Argha Ghosh^*
, Samiran Das

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We prove some basic properties of strong ℐ λ -statistical convergence of sequences in probabilistic metric spaces and introduce the notion of strong ℐ λ -statistical cluster point. We also introduce the notion of strong ℐ λ -statistical Cauchy sequences in probabilistic metric spaces. Further, we establish a connection between strong ℐ λ -statistical convergence and strong ℐ λ -statistical Cauchy sequences.

Original language	English
Pages (from-to)	11-22
Number of pages	12
Journal	Analysis (Germany)
Volume	42
Issue number	1
DOIs	https://doi.org/10.1515/anly-2021-0025
Publication status	Published - 01-02-2022

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Applied Mathematics

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abstract = "We prove some basic properties of strong ℐ λ -statistical convergence of sequences in probabilistic metric spaces and introduce the notion of strong ℐ λ -statistical cluster point. We also introduce the notion of strong ℐ λ -statistical Cauchy sequences in probabilistic metric spaces. Further, we establish a connection between strong ℐ λ -statistical convergence and strong ℐ λ -statistical Cauchy sequences.",

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AB - We prove some basic properties of strong ℐ λ -statistical convergence of sequences in probabilistic metric spaces and introduce the notion of strong ℐ λ -statistical cluster point. We also introduce the notion of strong ℐ λ -statistical Cauchy sequences in probabilistic metric spaces. Further, we establish a connection between strong ℐ λ -statistical convergence and strong ℐ λ -statistical Cauchy sequences.

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Some further studies on strong ℐ ^λ-statistical convergence in probabilistic metric spaces

Abstract

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