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Rough convergence of sequences in a cone metric space

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arxiv 1805.10257 v1 pith:FZNGNSRF submitted 2018-05-25 math.MG math.GN

Amar Kumar Banerjee , Rahul Mondal This is my paper · ORCID
classification math.MGmath.GN
keywords spaceconeconvergencemetricroughsequencesaffectedbasic
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Here we have introduced the idea of rough convergence of sequences in a cone metric space. Also it has been investigated how far several basic properties of rough convergence as valid in a normed linear space are affected in a cone metric space.

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  1. Rough $I$-convergence in cone metric spaces

    math.MG 2019-08 conditional novelty 4.0 of 10

    Rough I-convergence and rough I*-convergence are defined in cone metric spaces, and the two are shown equivalent when the ideal satisfies the (AP) condition, though the paper's counterexample for the converse is flawed.

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