2023/11/02 by Sukila Khatun, Khatun, Sukila, Amar Kumar Banerjee +1
Mathematics · #40A05 #40A99 #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.2311.01137
openalex publication_date 2023/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Mlaiki et al.\citeMLA introduced the idea of controlled metric type spaces, which is a new extension of b-metric spaces with addition of a controlled function α(x,y) of the right-hand side of the b-triangle inequality. Phu \citePHU introduced the idea of rough convergence of sequences in a normed linear space. In this paper we have brought the idea of rough convergence of sequences in a controlled metric type space. We have proved several results associated with rough limit sets and some relevant results associated with such convergence.