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The internet as a generalized space of unattached, floating rage?
A convex metric space is a generalized space.
Such a generalized space, called a cone metric space, was introduced by Huang and Zhang in [1].
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Boundedness results in a generalized Sobolev space, Besov space and Lizorkin-Triebel space are given in [3].
Let ((X,d)) be a metric space or a generalized metric space and Y be a subset of X.
As such, any metric space is a generalized metric space but the converse is not true [8].
A partial metric space is a generalized metric space in which each object does not necessarily have to have a zero distance from itself.
A partial metric space is a generalized metric space in which each object does not necessarily has to have a zero distance from itself [7].
Therefore, they introduced a new notion of a generalized metric space, called G-metric space.
Alternatively Mustafa and Sims [20] introduced a new notion of a generalized metric space called G-metric space.
where Then is a metric space and is a generalized metric space (see [30]).
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