On weak I^K-Cauchy sequences in normed spaces

2023/01/17 by Amar Kumar Banerjee, Banerjee, Amar Kumar, Mahendranath Paul +1
Mathematics · #40A05 #40H05 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.2301.06827

openalex publication_date 2023/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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