On ℐ-convergence of double sequences in the topology induced by random 2-norms

Authors

  • Mehmet Gürdal Suleyman Demirel University, Department of Mathematics, East Campus, 32260, Isparta, Turkey Author
  • Mualla Birgül Huban Suleyman Demirel University, Department of Mathematics, East Campus, 32260, Isparta, Turkey Author

Keywords:

$t$-norm, random $2$-normed space, ideal convergence, ideal Cauchy sequences, $F$-topology

Subjects:

40A35, 46A70, 54E70

Abstract

In this article we introduce the notion of$ℐ$-convergence and $ℐ$-Cauchyness of doublesequences in the topology induced by random $2$-normed spaces andprove some important results.

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Published

2014-01-15

Issue

Vol. 66 No. 1 (2014): Vol. 66, Issue 1

Section

Articles

License

Copyright (c) 2014 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.