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.
"On Lacunary Mean Ideal Convergence in Generalized Random -Normed Spaces." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/101782