On Lacunary Mean Ideal Convergence in Generalized Random n-Normed Spaces. (24th April 2014)

• Record Type: Journal Article
• Authors: Bakery, Awad A.; Mohammed, Mustafa M.
• Other Names: Zhan Jianming Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-24
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/101782
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : An ideal I is a hereditary and additive family of subsets of positive integers ℕ . In this paper, we will introduce the concept of generalized random n -normed space as an extension of random n -normed space. Also, we study the concept of lacunary mean (L )-ideal convergence and L -ideal Cauchy for sequences of complex numbers in the generalized random n -norm. We introduce I L -limit points and I L -cluster points. Furthermore, Cauchy and I L -Cauchy sequences in this construction are given. Finally, we find relations among these concepts.