A study on I-Cauchy sequences and I-divergence in S-metric spaces

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Authors :

Amar Kumar Banerjee 1 * and Apurba Banerjee 2

Author Address :

1,2 Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India.

Abstract :

The notion of S -metric space was introduced by Sedghi et al. In this paper we study the ideas of I and I ∗ -Cauchy sequences in S -metric spaces and investigate their relation following the same approach as done by Das and Ghosal. We then study the ideas of I and I ∗ -divergent sequences in S -metric spaces and examine their relation under certain general assumption.

Keywords :

Ideal, S-metric space, I-Cauchy, I ∗ -Cauchy, I-divergence, I ∗ -divergence, condition (AP).

DOI :

10.26637/MJM0602/0004

Article Info :

Received : November 24, 2017; Accepted : February 21, 2018.

 

 

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