Abstract
Partial metric spaces are generalization of metric space. The distance from a point to itself need not be zero in partial metric space. By the properties of metric and partial metric space, we have the analogue of the two spaces. Using the analogue, we construct sequences in ℓ2(P) with respect to a partial metric. We then investigate the convergence of sequences in ℓ2(P). In this work, we obtain that the convergence of sequences in ℓ2(ℕ) can be established in ℓ2(P) with respect to a partial metric.
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