On weak IKI^K-Cauchy sequences in normed spaces

preprint2023arXivOpen access

Abstract

In this paper, we study on weak IKI^K-Cauchy condition as a generalization of weak I∗I^*-Cauchy condition in a normed space. We investigate the relationship between weak II-Cauchy and weak IKI^K-Cauchy sequences using AP(I,K)AP(I,K)-condition. Also we study on weak* IKI^K-Cauchy condition and weak IKI^K-divergence of sequences in the same space.

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