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.
Aytar, The rough limit set and the core of a real sequence , Numer
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Rough $I$-convergence in cone metric spaces
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.