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The following space was introduced in [12].
This metric space was introduced in [22].
For our study a special Banach space was introduced.
The notion of partial metric space was introduced by S.G.
The notion of cone metric space was introduced in [7].
The Lorentz sequence space was introduced by Lorentz [31, 32].
The probabilistic metric space was introduced by Menger [1].
The notion of △-convergence in a general metric space was introduced by Lim [23].
The notion of quasi-β-normed space was introduced by Rassias and Kim [21].
The notion of multi-normed space was introduced by Dales and Polyakov (see in [16 19]).
The notion of multi-normed space was introduced by Dales and Polyakov in [10].
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