| dc.creator |
GÜRDAL, Mehmet |
|
| dc.creator |
Kişi, Ömer |
|
| dc.creator |
Çakal, Burak |
|
| dc.date |
2024-01-01T00:00:00Z |
|
| dc.date.accessioned |
2025-02-25T10:35:45Z |
|
| dc.date.available |
2025-02-25T10:35:45Z |
|
| dc.identifier |
a784a877-fd7f-4083-8d75-3d5e652e608c |
|
| dc.identifier |
10.54379/jma-2024-5-2 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/a784a877-fd7f-4083-8d75-3d5e652e608c/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100865 |
|
| dc.description |
The primary objective of this study is to introduce the notion of ideal convergence in quaternion-valued generalized metric spaces. We define I-convergence and I∗-convergence in these spaces and establish their equivalence through the definition of property (AP). Furthermore, we introduce I-Cauchy and I∗-Cauchy sequences, adapting classically theorems to suit quaternion-valued generalized metric spaces. We also present I-statistical convergence, I-lacunary statistical convergence, strong I-Cesàro summability, strong I-lacunary summability, [V, λ](I)-summability, and I-λ-statistically convergen-cein quaternion valued generalized metric spaces, along with their associated properties. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
ON IDEAL CONVERGENCE OF SEQUENCES IN QUATERNION VALUED GENERALIZED METRIC SPACES |
|
| dc.type |
info:eu-repo/semantics/article |
|