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2014 On Lacunary Mean Ideal Convergence in Generalized Random n-Normed Spaces
Awad A. Bakery, Mustafa M. Mohammed
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/101782

Abstract

An ideal I is a hereditary and additive family of subsets of positive integers . 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 IL-limit points and IL-cluster points. Furthermore, Cauchy and IL-Cauchy sequences in this construction are given. Finally, we find relations among these concepts.

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Awad A. Bakery. Mustafa M. Mohammed. "On Lacunary Mean Ideal Convergence in Generalized Random n-Normed Spaces." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/101782

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021733
MathSciNet: MR3200765
Digital Object Identifier: 10.1155/2014/101782

Rights: Copyright © 2014 Hindawi

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