Year: 2024
Type: article
Abstract: I-convergence is a type of convergence that generalizes many known types of convergences. In this study, I-convergence and I-boundedness of multiset sequences are defined and some examples are given. I-limit points, I-cluster points, Bmx and Amx sets and the concepts of I-limit infimum and I-limit supremum are defined for a multiset sequence. These definitions are supported by examples. It is shown that the set of I-cluster points of a multiset sequence covers the set of I-limit points and I-lim inf mx ≤ I-lim sup mx. Additionally, necessary and sufficient conditions for I-lim inf mx = I-lim sup mx are proved.
Authors: Hafize Gümüş, Nihal Demir
Institution: Necmettin Erbakan University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404825603