| dc.creator |
Savaş, Ekrem |
|
| dc.creator |
Gürdal, Mehmet |
|
| dc.date |
2018-10-01T00:00:00Z |
|
| dc.date.accessioned |
2022-05-10T11:19:52Z |
|
| dc.date.available |
2022-05-10T11:19:52Z |
|
| dc.identifier |
8195cda5-6652-492c-baf8-427c8c6977a0 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/8195cda5-6652-492c-baf8-427c8c6977a0/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/96752 |
|
| dc.description |
<p>In this paper, we introduce a new type of convergence for a sequence of function, namely, {\$}{\$}{\backslash}lambda {\$}{\$}$\lambda$-statistically convergent sequences of functions in random 2-normed space, which is a natural generalization of convergence in random 2-normed space. In particular, following the line of recent work of Karakaya et al. [12], we introduce the concepts of uniform {\$}{\$}{\backslash}lambda {\$}{\$}$\lambda$-statistical convergence and pointwise {\$}{\$}{\backslash}lambda {\$}{\$}$\lambda$-statistical convergence in the topology induced by random 2-normed spaces. We define the {\$}{\$}{\backslash}lambda {\$}{\$}$\lambda$-statistical analog of the Cauchy convergence criterion for pointwise and uniform {\$}{\$}{\backslash}lambda {\$}{\$}$\lambda$-statistical convergence in a random 2-normed space and give some basic properties of these concepts. In addition, the preservation of continuity by pointwise and uniform {\$}{\$}{\backslash}lambda {\$}{\$}$\lambda$-statistical convergence is proven<br></p> |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Mathematics and Computing |
|
| dc.type |
info:eu-repo/semantics/bookPart |
|