Mathematica Pannonica
Volume/Issue:
Volume 29_NS3: Issue 1
On Quasi I-Statistical Convergence of Triple Sequences in Cone Metric Spaces
Authors:
Işıl Açık Demırcı Department of Mathematics, Mehmet Akif Ersoy University, 15030, Burdur, Turkey

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,
Ömer Kışı Department of Mathematics, Bartın University, 74100, Bartın, Turkey

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, and
Mehmet Gürdal Department of Mathematics, Süleyman Demirel University, 32260, Isparta, Turkey

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Pages:
87–95
Online Publication Date:
06 Mar 2023
Publication Date:
19 May 2023
Article Category:
Research Article
DOI:
https://doi.org/10.1556/314.2023.00007
Keywords (English):
Cone metric; multiple sequence; convergence; ideal convergence
Open access

Fast [12] is credited with pioneering the field of statistical convergence. This topic has been researched in many spaces such as topological spaces, cone metric spaces, and so on (see, for example [19, 21]). A cone metric space was proposed by Huang and Zhang [17]. The primary distinction between a cone metric and a metric is that a cone metric is valued in an ordered Banach space. Li et al. [21] investigated the definitions of statistical convergence and statistical boundedness of a sequence in a cone metric space. Recently, Sakaoğlu and Yurdakadim [29] have introduced the concepts of quasi-statistical convergence. The notion of quasi I-statistical convergence for triple and multiple index sequences in cone metric spaces on topological vector spaces is introduced in this study, and we also examine certain theorems connected to quasi I-statistically convergent multiple sequences. Finally, we will provide some findings based on these theorems.

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Mathematica Pannonica
Print ISSN:
0865-2090
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Editor in Chief: László TÓTH (University of Pécs)

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Mathematica Pannonica
Language English
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Foundation		 1990
Volumes
per Year		 1
Issues
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Founder Akadémiai Kiadó
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Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
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ISSN 2786-0752 (Online)
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