On Lacunary Mean Ideal Convergence in Generalized Random -Normed Spaces

Awad A. Bakery and Mustafa M. Mohammed

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

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

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:101782

DOI: 10.1155/2014/101782

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