ON SOME PROPERTIES OF IDEAL CONVERGENT DOUBLE SEQUENCES IN FUZZY NORMED SPACES

ON SOME PROPERTIES OF IDEAL CONVERGENT DOUBLE SEQUENCES IN FUZZY NORMED SPACES

V. A. Khan, K. M. A. S. Alshlool, H. Altaf, S. A. A. Abdullah

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Abstract

Recently, Rashid et al. [Rashid, Mohammad HM and Kocinac, Ljubisa DR. Ideal convergence in 2{fuzzy 2{normed spaces, Hacettepe Journal of Mathematics and Statistics, 46(1):149{162, 2017] dened the notion of ideal convergence of single sequences in 2{fuzzy 2{normed linear spaces. The aim of this paper is to generalize this notion to the double sequences in such spaces. For the sake of generalizing we dene some concepts that contribute basically to outcomes that we came up with and study some basic properties of these new denitions.

Keywords

2{fuzzy 2{Normed Spaces, {2{norms, I{convergence, I{Cauchy, I{bounded.