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NEW CONVERGENCE DEFINITIONS FOR DOUBLE SEQUENCES IN g–METRIC SPACES

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dc.creator KOLANCI, Saime
dc.creator Kişi, Ömer
dc.creator GÜRDAL, Mehmet
dc.date 2023-04-01T00:00:00Z
dc.date.accessioned 2025-02-25T10:37:00Z
dc.date.available 2025-02-25T10:37:00Z
dc.identifier b7300229-2ee2-424c-96e3-646327cb680f
dc.identifier 10.7153/jca-2023-21-10
dc.identifier https://avesis.sdu.edu.tr/publication/details/b7300229-2ee2-424c-96e3-646327cb680f/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/101093
dc.description In this paper, we define g-convergence and g-Cauchy of double sequences in g-metric spaces. Also we prove that g-limit is unique and every g-convergent double sequence is a g-Cauchy sequence. Additionally g-statistical convergence of double sequences is introduced and the theorem giving the relationship between statistical convergence and strongly Cesáro summability in a g-metric space is demonstrated. Further, we put forward the notations of g-lacunary statistical convergence and g-strongly lacunary convergence of double sequences and we also present some inclusion theorems.
dc.language eng
dc.rights info:eu-repo/semantics/openAccess
dc.title NEW CONVERGENCE DEFINITIONS FOR DOUBLE SEQUENCES IN g–METRIC SPACES
dc.type info:eu-repo/semantics/article


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